{"id":53066,"date":"2022-01-27T21:20:32","date_gmt":"2022-01-27T19:20:32","guid":{"rendered":"https:\/\/omathimatikos.gr\/?p=53066"},"modified":"2022-01-26T10:24:59","modified_gmt":"2022-01-26T08:24:59","slug":"%ce%bc%ce%b9%ce%b1-%ce%ba%ce%b2%ce%b1%ce%bd%cf%84%ce%b9%ce%ba%ce%ae-%ce%b5%cf%80%ce%b9%cf%86%ce%bf%ce%af%cf%84%ce%b7%cf%83%ce%b7-%ce%b3%ce%b9%ce%b1-%cf%84%ce%b7%ce%bd-%cf%83%cf%85%ce%bd%ce%ac%cf%81","status":"publish","type":"post","link":"https:\/\/omathimatikos.gr\/?p=53066","title":{"rendered":"\u039c\u03b9\u03b1 \u03ba\u03b2\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b5\u03c0\u03b9\u03c6\u03bf\u03af\u03c4\u03b7\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6\u03ae\u03c4\u03b1"},"content":{"rendered":"<p><!--more--><\/p>\n<blockquote>\n<h3 class=\"has-medium-font-size\">\u039f\u03b9 \u03c6\u03c5\u03c3\u03b9\u03ba\u03bf\u03af \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03c5\u03bd \u03bc\u03b9\u03b1 \u03bd\u03ad\u03b1 \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03c3\u03c4\u03bf \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03b5\u03bd\u03cc\u03c2 \u03b5\u03ba\u03b1\u03c4\u03bf\u03bc\u03bc\u03c5\u03c1\u03af\u03bf\u03c5 \u03b4\u03bf\u03bb\u03bb\u03b1\u03c1\u03af\u03c9\u03bd<\/h3>\n<\/blockquote>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><figcaption><em>\u00a0<\/em><\/figcaption><\/figure>\n<\/div>\n<p>H \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6\u03ae\u03c4\u03b1 \u03c4\u03bf\u03c5 Riemann \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c6\u03b1\u03b9\u03bd\u03bf\u03bc\u03b5\u03bd\u03b9\u03ba\u03ac \u03b1\u03c0\u03bb\u03ae \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd 19\u03bf \u03b1\u03b9\u03ce\u03bd\u03b1 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1. \u03a4\u03bf \u03c0\u03b9\u03bf \u03b4\u03b9\u03ac\u03c3\u03b7\u03bc\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1, \u03b7 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 Riemann, \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03c9\u03c2 \u03c4\u03bf \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03ac\u03bb\u03c5\u03c4\u03bf \u03b5\u03c1\u03ce\u03c4\u03b7\u03bc\u03b1 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03bc\u03b5 \u03c4\u03bf Clay Mathematics Institute \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03b5\u03b9 \u03b2\u03c1\u03b1\u03b2\u03b5\u03af\u03bf \u03b5\u03bd\u03cc\u03c2 \u03b5\u03ba\u03b1\u03c4\u03bf\u03bc\u03bc\u03c5\u03c1\u03af\u03bf\u03c5 \u03b4\u03bf\u03bb\u03b1\u03c1\u03af\u03c9\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03ae \u03c4\u03bf\u03c5.<\/p>\n<blockquote class=\"wp-block-quote is-style-default\"><p><span style=\"color: #00ff00;\"><cite><mark class=\"has-inline-color has-black-color\">Y\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 Riemann: \u00ab<strong>\u038c\u03bb\u03b5\u03c2 \u03bf\u03b9 \u03bc\u03b7 \u03c4\u03b5\u03c4\u03c1\u03b9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b6 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03bc\u03ad\u03c1\u03bf\u03c2 \u03af\u03c3\u03bf \u03bc\u03b5 \u00bd<\/strong>\u00bb,\u00a0\u03cc\u03c0\u03bf\u03c5\u00a0<a style=\"color: #00ff00;\" href=\"https:\/\/physicsgg.me\/2021\/01\/05\/%ce%ad%ce%bd%ce%b1-%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%cf%8c-%cf%80%cf%81%cf%8c%ce%b2%ce%bb%ce%b7%ce%bc%ce%b1-%ce%b1%ce%be%ce%af%ce%b1%cf%82-%ce%b5%ce%bd%cf%8c%cf%82-%ce%b5%ce%ba\/\"><strong><mark class=\"has-inline-color has-vivid-red-color\">\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6 \u03c4\u03bf\u03c5 Riemann<\/mark><\/strong><\/a>\u00a0\u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7:\u00a0<\/mark><img decoding=\"async\" loading=\"lazy\" class=\"latex\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Czeta%28s%29+%3D+%5Csum%5Climits_%7Bn%3D1%7D%5E%5Cinfty+%5Cfrac%7B1%7D%7Bn%5E%7Bs%7D%7D+&amp;bg=FFFFFF&amp;fg=070707&amp;s=2&amp;c=20201002\" srcset=\"https:\/\/s0.wp.com\/latex.php?latex=%5Czeta%28s%29+%3D+%5Csum%5Climits_%7Bn%3D1%7D%5E%5Cinfty+%5Cfrac%7B1%7D%7Bn%5E%7Bs%7D%7D+&amp;bg=FFFFFF&amp;fg=070707&amp;s=2&amp;c=20201002&amp;zoom=2 1.5x\" alt=\"\\zeta(s) = \\sum\\limits_{n=1}^\\infty \\frac{1}{n^{s}} \" width=\"123\" height=\"52\" \/><\/cite><\/span><\/p><\/blockquote>\n<p><span style=\"color: #00ff00;\"><mark class=\"has-inline-color has-black-color\">H \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6 \u03c4\u03bf\u03c5 Riemann<\/mark><\/span>\u00a0\u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b4\u03b9\u03ac\u03c3\u03b7\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03bc\u03c5\u03c3\u03c4\u03b7\u03c1\u03b9\u03ce\u03b4\u03b7\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b1\u03bd\u03c4\u03bf\u03cd \u03c3\u03c4\u03b7\u03bd \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd \u03ba\u03b1\u03b9 \u03b4\u03b9\u03b5\u03c1\u03b5\u03c5\u03bd\u03ac\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c0\u03ac\u03bd\u03c9 \u03b1\u03c0\u03cc 150 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1. \u039f \u03c6\u03c5\u03c3\u03b9\u03ba\u03cc\u03c2 \u03c4\u03bf\u03c5 UC Santa Barbara,\u00a0<a href=\"https:\/\/grantremmen.github.io\/\">Grant Remmen<\/a>\u00a0\u03c0\u03b9\u03c3\u03c4\u03b5\u03cd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03ba\u03b1\u03c4\u03ac\u03c6\u03b5\u03c1\u03b5 \u03bc\u03b9\u03b1 \u03bd\u03ad\u03b1 \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03c3\u03c4\u03b7\u03bd \u03b4\u03b9\u03b5\u03c1\u03b5\u03cd\u03bd\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03ac\u03be\u03b5\u03bd\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b6. \u0392\u03c1\u03ae\u03ba\u03b5 \u03bc\u03b9\u03b1 \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1 \u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b6 \u03c3\u03c4\u03b7\u03bd \u03ba\u03b2\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5. \u0391\u03c5\u03c4\u03cc \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03c4\u03ce\u03c1\u03b1 \u03bd\u03b1 \u03b1\u03be\u03b9\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bd \u03c4\u03b1 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03c4\u03b7\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03b9\u03b5\u03c1\u03b5\u03c5\u03bd\u03ae\u03c3\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b1\u03b9\u03bd\u03b9\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03ba\u03b1\u03b9 \u03b1\u03bd\u03b1\u03c0\u03ac\u03bd\u03c4\u03b5\u03c7\u03b1 \u03c0\u03b1\u03bd\u03c4\u03b1\u03c7\u03bf\u03cd \u03c0\u03b1\u03c1\u03bf\u03cd\u03c3\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6. \u0397 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03c4\u03bf\u03c5 \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b5 \u03b1\u03ba\u03cc\u03bc\u03b7 \u03bd\u03b1 \u03bf\u03b4\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03c4\u03b7\u03c2 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7\u03c2 Riemann. \u039f Remmen \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03ae \u03c4\u03bf\u03c5 \u03c3\u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03cc Physical Review Letters (<a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.127.241602\">Amplitudes and the Riemann Zeta Function<\/a>).<\/p>\n<blockquote class=\"wp-block-quote is-style-default\"><p><cite>\u00ab<mark class=\"has-inline-color has-black-color\">\u03a4\u03b7\u03bd \u03ac\u03bd\u03bf\u03b9\u03be\u03b7 \u03c4\u03bf\u03c5 1972 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03c4\u03c5\u03c7\u03b1\u03af\u03b1 \u03c3\u03c5\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd Hugh Lowell Montgomery \u03ba\u03b1\u03b9 Freeman John Dyson \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03c5\u03bd\u03ad\u03b4\u03c1\u03b9\u03bf, \u03bf \u03c0\u03c1\u03ce\u03c4\u03bf\u03c2 \u03b1\u03bd\u03ad\u03c6\u03b5\u03c1\u03b5 \u03cc\u03c4\u03b9 \u03b5\u03c1\u03b3\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03b9\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bc\u03b7 \u03c4\u03b5\u03c4\u03c1\u03b9\u03bc\u03ad\u03bd\u03c9\u03bd \u03c1\u03b9\u03b6\u03ce\u03bd \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 Riemann \u03ba\u03b1\u03b9 \u03c0\u03c9\u03c2 \u03b5\u03af\u03c7\u03b5 \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03be\u03b5\u03b9 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03b5\u03b9\u03ba\u03b1\u03c3\u03af\u03b1, \u03cc\u03c4\u03b9 \u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae\u03c2 \u03b1\u03c5\u03c4\u03ce\u03bd \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ce\u03bd \u03c3\u03c5\u03bd\u03b4\u03ad\u03bf\u03bd\u03c4\u03b1\u03bd \u03bc\u03b5 \u03c4\u03bf \u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03bc\u03b1 1-(sin \u03c0u\/\u03c0u)<sup>2<\/sup>. O Dyson \u03b5\u03bd\u03c4\u03c5\u03c0\u03c9\u03c3\u03b9\u03b1\u03c3\u03bc\u03ad\u03bd\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03af\u03c0\u03b5: \u00ab\u0391\u03c5\u03c4\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03bc\u03bf\u03c1\u03c6\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03c3\u03c7\u03ad\u03c4\u03b9\u03c3\u03b7\u03c2 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03c4\u03c9\u03bd \u03b9\u03b4\u03b9\u03bf\u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03c5\u03c7\u03b1\u03af\u03c9\u03bd \u0395\u03c1\u03bc\u03b9\u03c4\u03b9\u03b1\u03bd\u03ce\u03bd \u03c0\u03b9\u03bd\u03ac\u03ba\u03c9\u03bd! (\u2026)<\/mark><br \/>\n<mark class=\"has-inline-color has-black-color\">\u039f\u03b9 \u03bc\u03b7 \u03c4\u03b5\u03c4\u03c1\u03b9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b6 \u03c4\u03bf\u03c5 Riemann \u03ae\u03c1\u03b8\u03b1\u03bd \u03c3\u03c4\u03bf \u03c0\u03c1\u03bf\u03c3\u03ba\u03ae\u03bd\u03b9\u03bf \u03bb\u03cc\u03b3\u03c9 \u03c4\u03c9\u03bd \u03b5\u03c1\u03b5\u03c5\u03bd\u03ce\u03bd \u03c0\u03bf\u03c5 \u03c3\u03c7\u03b5\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae\u00a0<\/mark>\u03c4\u03c9\u03bd \u03c0\u03c1\u03ce\u03c4\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd.\u00a0<mark class=\"has-inline-color has-black-color\">\u039f\u03b9 \u03b9\u03b4\u03b9\u03bf\u03c4\u03b9\u03bc\u03ad\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c4\u03c5\u03c7\u03b1\u03af\u03bf\u03c5 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\u03c0\u03ac\u03c1\u03b5\u03b9 \u03b5\u03c5\u03c7\u03ae, \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03c9\u03bd \u03c0\u03c1\u03ce\u03c4\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03bf\u03c1\u03ac \u03c4\u03c9\u03bd \u03c5\u03c0\u03bf\u03b1\u03c4\u03bf\u03bc\u03b9\u03ba\u03ce\u03bd \u03c3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03c9\u03bd;<\/strong>\u00bb<\/mark><br \/>\n<mark class=\"has-inline-color has-black-color\"><em>John Derbyshire, \u2018\u03a5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03a1\u03af\u03bc\u03b1\u03bd, \u0397 \u03b5\u03bc\u03bc\u03bf\u03bd\u03ae \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03c1\u03ce\u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a4\u03c1\u03b1\u03c5\u03bb\u03bf\u03c2 \u2013 \u03b1\u03c0\u03cc\u03c3\u03c0\u03b1\u03c3\u03bc\u03b1\u2019 \u03b1\u03c0\u03cc 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\u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03bf\u03c1\u03ac \u03c4\u03c9\u03bd \u03c3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03c9\u03bd \u03c0\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03ae \u03ba\u03bf\u03bd\u03c4\u03ac \u03c3\u03c4\u03b7\u03bd \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03c6\u03c9\u03c4\u03cc\u03c2.<\/p>\n<p>\u0397 \u03ba\u03b2\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03bc\u03b9\u03b1 \u03b5\u03bd\u03b9\u03b1\u03af\u03b1 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1. \u039c\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf \u03bc\u03b5 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bb\u03bb\u03bf\u03b3\u03ae \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03c9\u03bd \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bd \u03bf\u03b9 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03bf\u03bd\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bd \u03c4\u03b9\u03c2 \u03b1\u03bb\u03bb\u03b7\u03bb\u03b5\u03c0\u03b9\u03c3\u03b4\u03c1\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03c9\u03bd.<\/p>\n<p>\u039f Remmen \u03c3\u03c5\u03bd\u03b5\u03b9\u03b4\u03b7\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b5 \u03cc\u03c4\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03b2\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1\u03c2 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03ac \u03ba\u03bf\u03b9\u03bd\u03ac \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6 \u03c4\u03bf\u03c5 Riemann. \u039f\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03bb\u03ac\u03c4\u03bf\u03c2 \u03c3\u03ba\u03ad\u03b4\u03b1\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03ba\u03c9\u03b4\u03b9\u03ba\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c4\u03b7\u03bd \u03ba\u03b2\u03b1\u03bd\u03c4\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03b1 \u03c3\u03c9\u03bc\u03b1\u03c4\u03af\u03b4\u03b9\u03b1 \u03bd\u03b1 \u03b1\u03bb\u03bb\u03b7\u03bb\u03b5\u03c0\u03b9\u03b4\u03c1\u03ac\u03c3\u03bf\u03c5\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2.<\/p>\n<p>\u03a4\u03b1 \u03c0\u03bb\u03ac\u03c4\u03b7 \u03c3\u03ba\u03ad\u03b4\u03b1\u03c3\u03b7\u03c2 \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03bc\u03b9\u03b3\u03b1\u03b4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2. \u0391\u03c5\u03c4\u03bf\u03af \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1\u03bd \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u2014 \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ac\u03c3\u03b9\u03bf \u03c4\u03bf\u03c5 \u221a-1 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 i. \u03a4\u03b1 \u03c0\u03bb\u03ac\u03c4\u03b7 \u03c3\u03ba\u03ad\u03b4\u03b1\u03c3\u03b7\u03c2 \u03ad\u03c7\u03bf\u03c5\u03bd \u2018\u03c9\u03c1\u03b1\u03af\u03b5\u03c2\u2019 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c3\u03c4\u03bf \u03bc\u03b9\u03b3\u03b1\u03b4\u03b9\u03ba\u03cc \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf. \u03a0\u03c1\u03ce\u03c4\u03bf\u03bd, \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 (\u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03b1\u03c3\u03c4\u03bf\u03cd\u03bd \u03c9\u03c2 \u03c3\u03b5\u03b9\u03c1\u03ad\u03c2) \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03ba\u03ac\u03b8\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b5\u03ba\u03c4\u03cc\u03c2 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c0\u03cc\u03bb\u03c9\u03bd, \u03bf\u03b9 \u03bf\u03c0\u03bf\u03af\u03bf\u03b9 \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03cc\u03bb\u03bf\u03b9 \u03ba\u03b1\u03c4\u03ac \u03bc\u03ae\u03ba\u03bf\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2. \u039a\u03ac\u03c4\u03b9 \u03b5\u03bd\u03c4\u03b5\u03bb\u03ce\u03c2 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03bf \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c4\u03c1\u03cc\u03c0\u03bf \u03c0\u03bf\u03c5 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03ad\u03c1\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03c1\u03af\u03b6\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b6 \u03c4\u03bf\u03c5 Riemann, \u03bf\u03b9 \u03bf\u03c0\u03bf\u03af\u03b5\u03c2 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03cc\u03bb\u03b5\u03c2 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1. \u0388\u03c4\u03c3\u03b9, \u03bf Remmen \u03b5\u03c0\u03b9\u03c7\u03b5\u03af\u03c1\u03b7\u03c3\u03b5 \u03bd\u03b1 \u03b5\u03bb\u03ad\u03b3\u03be\u03b5\u03b9 \u03b1\u03bd \u03b1\u03c5\u03c4\u03ae \u03b7 \u03c6\u03b1\u03b9\u03bd\u03bf\u03bc\u03b5\u03bd\u03b9\u03ba\u03ae \u03bf\u03bc\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ad\u03ba\u03c1\u03c5\u03b2\u03b5 \u03ba\u03ac\u03c4\u03b9 \u03b1\u03bb\u03b7\u03b8\u03b9\u03bd\u03cc.<\/p>\n<p>\u039f\u03b9 \u03c0\u03cc\u03bb\u03bf\u03b9 \u03c4\u03bf\u03c5 \u03c0\u03bb\u03ac\u03c4\u03bf\u03c5\u03c2 \u03c3\u03ba\u03ad\u03b4\u03b1\u03c3\u03b7\u03c2 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03c9\u03bd, \u03cc\u03c0\u03bf\u03c5 \u03b5\u03be\u03b1\u03b9\u03c4\u03af\u03b1\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03bf\u03cd \u03b3\u03b5\u03b3\u03bf\u03bd\u03cc\u03c4\u03bf\u03c2 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03c9\u03bc\u03b1\u03c4\u03af\u03b4\u03b9\u03bf \u03bc\u03b5 \u03bf\u03c1\u03bc\u03ae. \u0397 \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03cc\u03bb\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03c4\u03b7\u03bd \u03bc\u03ac\u03b6\u03b1 \u03c4\u03bf\u03c5 \u03c3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03bf\u03c5 \u03c0\u03bf\u03c5 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b1\u03b9. \u0389\u03c4\u03b1\u03bd \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03b8\u03ad\u03bc\u03b1 \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03ad\u03c1\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b1\u03bd \u03c4\u03bf \u03c0\u03bb\u03ac\u03c4\u03bf\u03c2 \u03c3\u03ba\u03ad\u03b4\u03b1\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03bf\u03c0\u03bf\u03af\u03b1\u03c2 \u03bf\u03b9 \u03c0\u03cc\u03bb\u03bf\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03c2 \u03bc\u03b5 \u03c4\u03b9\u03c2 \u03bc\u03b7 \u03c4\u03b5\u03c4\u03c1\u03b9\u03bc\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b6.<\/p>\n<p><strong>\u03a0\u03b1\u03c1\u03b1\u03c0\u03bb\u03b1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bb\u03ae<\/strong><\/p>\n<p>\u0397 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6\u03ae\u03c4\u03b1 \u03b3\u03b5\u03bd\u03b9\u03ba\u03b5\u03cd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae \u03c3\u03b5\u03b9\u03c1\u03ac:<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" class=\"latex\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B1%7D%7B1%5E%7Bx%7D%7D+%2B+%5Cfrac%7B1%7D%7B2%5E%7Bx%7D%7D+%2B++%5Cfrac%7B1%7D%7B3%5E%7Bx%7D%7D+%5Cdots+&amp;bg=ffffff&amp;fg=1B1B1B&amp;s=2&amp;c=20201002\" srcset=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B1%7D%7B1%5E%7Bx%7D%7D+%2B+%5Cfrac%7B1%7D%7B2%5E%7Bx%7D%7D+%2B++%5Cfrac%7B1%7D%7B3%5E%7Bx%7D%7D+%5Cdots+&amp;bg=ffffff&amp;fg=1B1B1B&amp;s=2&amp;c=20201002&amp;zoom=2 1.5x\" alt=\"\\frac{1}{1^{x}} + \\frac{1}{2^{x}} +  \\frac{1}{3^{x}} \\dots \" width=\"144\" height=\"29\" \/><\/p>\n<p>\u0391\u03c5\u03c4\u03ae \u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03c3\u03c4\u03bf \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf \u03cc\u03c4\u03b1\u03bd x\u22641, \u03b1\u03bb\u03bb\u03ac \u03c3\u03c5\u03b3\u03ba\u03bb\u03af\u03bd\u03b5\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 x&gt;1. \u03a4\u03bf 1859 \u03bf Bernhard Riemann \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b9\u03c3\u03b5 \u03bd\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03b5\u03b9 \u03c4\u03b9 \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b1\u03bd \u03c4\u03bf x \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b3\u03b1\u03b4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2. \u0397 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7, \u03c0\u03bf\u03c5 \u03c4\u03ce\u03c1\u03b1 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6 \u03c4\u03bf\u03c5 Riemann, \u03c0\u03b1\u03af\u03c1\u03bd\u03b5\u03b9 \u03c9\u03c2 \u03c4\u03b9\u03bc\u03ae \u03ad\u03bd\u03b1\u03bd \u03bc\u03b9\u03b3\u03b1\u03b4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03ba\u03b1\u03b9 \u03bc\u03b1\u03c2 \u03b4\u03af\u03bd\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03ac\u03bb\u03bb\u03bf.<\/p>\n<p>\u0394\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03b1\u03c0\u03bb\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2, \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03bc\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b1\u03bb\u03ad\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2. \u00ab\u039a\u03b9 \u03cc\u03bc\u03c9\u03c2, \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03ad\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03b3\u03bf\u03c5\u03bd \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03c1\u03bf\u03bc\u03b5\u03c1\u03ac \u03c0\u03b5\u03c1\u03af\u03c0\u03bb\u03bf\u03ba\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03b7\u03b8\u03bf\u03cd\u03bd\u00bb, \u03bb\u03ad\u03b5\u03b9 \u03bf Remmen. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03c0\u03ac\u03c1\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b9\u03c2 \u03bf\u03c0\u03bf\u03af\u03b5\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b9\u03c3\u03bf\u03cd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03bc\u03b7\u03b4\u03ad\u03bd. \u038c\u03bb\u03bf\u03b9 \u03bf\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03af \u03b6\u03c5\u03b3\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf \u03bc\u03b7\u03b4\u03ad\u03bd, \u03b1\u03bd \u03ba\u03b1\u03b9 \u03b1\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ad\u03c2 \u2013 \u03ae \u00ab\u03c4\u03b5\u03c4\u03c1\u03b9\u03bc\u03bc\u03ad\u03bd\u03bf\u00bb \u03cc\u03c0\u03c9\u03c2 \u03bb\u03ad\u03bd\u03b5 \u03bf\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u2013 \u03cc\u03c4\u03b1\u03bd \u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6\u03ae\u03c4\u03b1 \u03b3\u03c1\u03ac\u03c6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03bc\u03bf\u03c1\u03c6\u03ad\u03c2. \u0391\u03c5\u03c4\u03cc \u03c0\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9 \u03bc\u03c0\u03b5\u03c1\u03b4\u03ad\u03c8\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03ac\u03bb\u03bb\u03b1 \u03bc\u03b7 \u03c4\u03b5\u03c4\u03c1\u03b9\u03bc\u03bc\u03ad\u03bd\u03b1 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ac (\u03c1\u03af\u03b6\u03b5\u03c2) \u03c6\u03b1\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b1\u03c4\u03ac \u03bc\u03ae\u03ba\u03bf\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae\u03c2, \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03c4\u03bf \u03ba\u03b1\u03b8\u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ac \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c9\u03c2 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03bc\u03ad\u03c1\u03bf\u03c2 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u00bd.<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><a href=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-88290\" src=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg?w=900&#038;resize=405%2C405\" sizes=\"(max-width: 405px) 100vw, 405px\" srcset=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg?w=405 405w, https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg?w=810 810w, https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg?w=150 150w, https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg?w=300 300w, https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg?w=768 768w\" alt=\"\" width=\"405\" height=\"405\" data-attachment-id=\"88290\" data-permalink=\"https:\/\/physicsgg.me\/zerosfig\/\" data-orig-file=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg\" data-orig-size=\"900,900\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"zerosfig\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg?w=300\" data-large-file=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zerosfig.jpg?w=700\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><a href=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-88299\" src=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg?w=1000&#038;resize=396%2C313\" sizes=\"(max-width: 396px) 100vw, 396px\" srcset=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg?w=396 396w, https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg?w=789 789w, https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg?w=150 150w, https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg?w=300 300w, https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg?w=768 768w\" alt=\"\" width=\"396\" height=\"313\" data-attachment-id=\"88299\" data-permalink=\"https:\/\/physicsgg.me\/zetaplot-1\/\" data-orig-file=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg\" data-orig-size=\"1000,793\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"zetaplot-1\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg?w=300\" data-large-file=\"https:\/\/physicsgg.files.wordpress.com\/2022\/01\/zetaplot-1.jpg?w=700\" data-recalc-dims=\"1\" \/><\/a><figcaption><em>\u0397 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6 \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c4\u03b7 \u03b3\u03ba\u03c1\u03af\u03b6\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7\u03c2 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1\u03c2 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03ae\u03bd \u03c4\u03b7\u03bd \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7, \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03ba\u03cc\u03ba\u03ba\u03b9\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c4\u03b7\u03c2 \u03bd\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae (0,0).<\/em>\u00a0<em>Photo Credit:\u00a0GRANT REMMEN, HARRISON TASOFF<\/em><\/figcaption><\/figure>\n<\/div>\n<p>\u039f Riemann \u03c5\u03c0\u03ad\u03b8\u03b5\u03c3\u03b5 \u03cc\u03c4\u03b9 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03bc\u03bf\u03c4\u03af\u03b2\u03bf \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03b3\u03b9\u03b1 \u03cc\u03bb\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03bc\u03b7 \u03c4\u03b5\u03c4\u03c1\u03b9\u03bc\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03c4\u03ac\u03c3\u03b7 \u03ad\u03c7\u03b5\u03b9 \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03b9\u03c9\u03b8\u03b5\u03af \u03b3\u03b9\u03b1 \u03c4\u03b1 \u03c0\u03c1\u03ce\u03c4\u03b1 \u03bb\u03af\u03b3\u03b1 \u03c4\u03c1\u03b9\u03c3\u03b5\u03ba\u03b1\u03c4\u03bf\u03bc\u03bc\u03cd\u03c1\u03b9\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ad\u03c2. \u038c\u03bc\u03c9\u03c2, \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b5\u03b9\u03ba\u03b1\u03c3\u03af\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b9\u03c3\u03c7\u03cd\u03bf\u03c5\u03bd \u03b3\u03b9\u03b1 \u03c4\u03c1\u03b9\u03c3\u03b5\u03ba\u03b1\u03c4\u03bf\u03bc\u03bc\u03cd\u03c1\u03b9\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03b1\u03c0\u03bf\u03c4\u03c5\u03b3\u03c7\u03ac\u03bd\u03bf\u03c5\u03bd \u03c3\u03b5 \u03b5\u03be\u03b1\u03b9\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2. \u0388\u03c4\u03c3\u03b9, \u03bf\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03af\u03b3\u03bf\u03c5\u03c1\u03bf\u03b9 \u03cc\u03c4\u03b9 \u03b7 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bb\u03b7\u03b8\u03ae\u03c2 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af.<\/p>\n<p>\u0391\u03bb\u03bb\u03ac \u03b1\u03bd \u03b7 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 Riemann \u03b1\u03bb\u03b7\u03b8\u03b5\u03cd\u03b5\u03b9, \u03b8\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b5\u03c0\u03b9\u03c0\u03c4\u03ce\u03c3\u03b5\u03b9\u03c2. \u00ab\u0393\u03b9\u03b1 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03bf\u03c5\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c5\u03c2 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b1\u03bd\u03c4\u03bf\u03cd \u03c3\u03b5 \u03b8\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b7 \u03b5\u03c1\u03c9\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac\u00bb, \u03bb\u03ad\u03b5\u03b9 \u03bf Remmen. \u03a4\u03b1 \u03b1\u03be\u03b9\u03ce\u03bc\u03b1\u03c4\u03b1 \u03c3\u03b5 \u03c0\u03b5\u03b4\u03af\u03b1 \u03c4\u03cc\u03c3\u03bf \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd, \u03b7 \u03b1\u03c6\u03b7\u03c1\u03b7\u03bc\u03ad\u03bd\u03b7 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03b7 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd \u03b5\u03be\u03b1\u03c1\u03c4\u03ce\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b9\u03c3\u03c7\u03cd \u03c4\u03b7\u03c2 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7\u03c2. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b7 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ae\u03c2 \u03ad\u03ba\u03c6\u03c1\u03b1\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03c9\u03bd \u03c0\u03c1\u03ce\u03c4\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd.<\/p>\n<p><strong>\u039c\u03b9\u03b1 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1<\/strong><\/p>\n<p>\u03a4\u03bf \u03c0\u03bb\u03ac\u03c4\u03bf\u03c2 \u03c3\u03ba\u03ad\u03b4\u03b1\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03b2\u03c1\u03ae\u03ba\u03b5 \u03bf Remmen \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03b4\u03cd\u03bf \u03c3\u03c9\u03bc\u03b1\u03c4\u03af\u03b4\u03b9\u03b1 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bc\u03ac\u03b6\u03b1 \u03b7\u03c1\u03b5\u03bc\u03af\u03b1\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bb\u03bb\u03b7\u03bb\u03b5\u03c0\u03b9\u03b4\u03c1\u03bf\u03cd\u03bd \u03b1\u03bd\u03c4\u03b1\u03bb\u03bb\u03ac\u03c3\u03c3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ad\u03bd\u03b1 \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03c9\u03bd \u03bc\u03b5 \u03bc\u03ac\u03b6\u03b5\u03c2, \u03ad\u03bd\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03c6\u03bf\u03c1\u03ac. \u0397 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03ad\u03c7\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03c0\u03cc\u03bb\u03bf \u2013 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03cc\u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03b1\u03c3\u03c4\u03b5\u03af \u03c9\u03c2 \u03c3\u03b5\u03b9\u03c1\u03ac \u2013 \u03ba\u03b1\u03b9 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03c4\u03b7 \u03bc\u03ac\u03b6\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03b5\u03bd\u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03bf\u03c5 \u03c3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03bf\u03c5. \u039f\u03b9 \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf\u03b9 \u03c0\u03cc\u03bb\u03bf\u03b9 \u03b5\u03c5\u03b8\u03c5\u03b3\u03c1\u03b1\u03bc\u03bc\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03cc\u03c0\u03c9\u03c2 \u03bf\u03b9 \u03bc\u03b7 \u03c4\u03b5\u03c4\u03c1\u03b9\u03bc\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b6 \u03c4\u03bf\u03c5 Riemann.<\/p>\n<p>\u0391\u03c5\u03c4\u03cc \u03c0\u03bf\u03c5 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03cd\u03b1\u03c3\u03b5 \u03bf Remmen \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03ba\u03cd\u03c1\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b9\u03c3\u03c4\u03ce\u03c3\u03b1 \u03c4\u03b7\u03c2 \u03b1\u03bb\u03bb\u03b7\u03bb\u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7\u03c2. \u03a5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b1\u03c0\u03b5\u03af\u03c1\u03c9\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03bf \u03ba\u03b1\u03b8\u03b5\u03bc\u03af\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03cc\u03bb\u03bf \u03ba\u03b1\u03b9 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03c0\u03c4\u03c5\u03c7\u03ad\u03c2 \u03c4\u03b7\u03c2 \u03b1\u03bb\u03bb\u03b7\u03bb\u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7\u03c2, \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03bf\u03c5\u03bd \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b5\u03c2 \u03bc\u03b5 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b7 \u03b1\u03bd\u03c4\u03b1\u03bb\u03bb\u03b1\u03b3\u03ae \u03c0\u03bf\u03bb\u03bb\u03ce\u03bd \u03c3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03c9\u03bd \u03bc\u03b5 \u03bc\u03ac\u03b6\u03b1. \u0391\u03bb\u03bb\u03ac \u03b1\u03c5\u03c4\u03cc \u03b8\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03b9 \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03bf \u03bc\u03b5\u03bb\u03bb\u03bf\u03bd\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2.<\/p>\n<p>\u03a3\u03cd\u03bc\u03c6\u03c9\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 Riemann \u03cc\u03bb\u03b5\u03c2 \u03bf\u03b9 \u03bc\u03b7 \u03c4\u03b5\u03c4\u03c1\u03b9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b6 \u03ad\u03c7\u03bf\u03c5\u03bd\u00a0<mark class=\"has-inline-color has-black-color\">\u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03bc\u03ad\u03c1\u03bf\u03c2 \u03af\u03c3\u03bf \u03bc\u03b5<strong>\u00a0\u00bd<\/strong><\/mark>. \u0397 \u2018\u03bc\u03b5\u03c4\u03ac\u03c6\u03c1\u03b1\u03c3\u03b7\u2019 \u03b1\u03c5\u03c4\u03bf\u03cd \u03c3\u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03c4\u03bf\u03c5 Remmen: \u038c\u03bb\u03bf\u03b9 \u03bf\u03b9 \u03c0\u03cc\u03bb\u03bf\u03b9 \u03c4\u03c9\u03bd \u03c0\u03bb\u03b1\u03c4\u03ce\u03bd \u03c3\u03ba\u03ad\u03b4\u03b1\u03c3\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af<strong>.<\/strong>\u00a0\u0391\u03c5\u03c4\u03cc \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b1\u03bd \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03ae \u03c4\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c0\u03ae \u03ba\u03b2\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c0\u03b5\u03b4\u03af\u03bf\u03c5 \u2013 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae, \u03bc\u03b9\u03b1 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03cc\u03c0\u03bf\u03c5 \u03bf\u03b9 \u03bc\u03ac\u03b6\u03b5\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af, \u03cc\u03c7\u03b9 \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03b9\u03ba\u03bf\u03af \u2013 \u03c4\u03cc\u03c4\u03b5 \u03b7 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 Riemann \u03b8\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af.<\/p>\n<p>\u03a3\u03cd\u03bc\u03c6\u03c9\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03bf\u03bd Remmen, \u00ab\u038c\u03c7\u03b9 \u03bc\u03cc\u03bd\u03bf \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 Riemann, \u03b1\u03bb\u03bb\u03ac \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03b7 \u03bb\u03af\u03c3\u03c4\u03b1 \u03bc\u03b5 \u03ac\u03bb\u03bb\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b6 \u03c4\u03bf\u03c5 Riemann \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03b5 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ac \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03c4\u03bf\u03c5 \u03c0\u03bb\u03ac\u03c4\u03bf\u03c5\u03c2 \u03c3\u03ba\u03ad\u03b4\u03b1\u03c3\u03b7\u03c2\u00bb. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03cc \u03af\u03b4\u03b9\u03bf\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03ae\u03b4\u03b7 \u03b1\u03bd\u03b1\u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03b9 \u03bc\u03b7 \u03b4\u03b9\u03b1\u03b9\u03c3\u03b8\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03c3\u03c7\u03b5\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae.<\/p>\n<p>\u0397 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03c4\u03bf\u03c5 Remmen \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03b5\u03af \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03bf\u03c3\u03b7 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ce\u03bd \u03c0\u03bf\u03c5 \u03c8\u03ac\u03c7\u03bd\u03bf\u03c5\u03bd \u03c3\u03c4\u03b7 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c1\u03af\u03be\u03bf\u03c5\u03bd \u03c6\u03c9\u03c2 \u03c3\u03b5 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03bf \u03c6\u03c5\u03c3\u03b9\u03ba\u03cc\u03c2 Gabriele Veneziano \u03ad\u03b8\u03b5\u03c3\u03b5 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03b1 \u03b5\u03c1\u03ce\u03c4\u03b7\u03c3\u03b7 \u03c4\u03bf 1968: \u03b5\u03ac\u03bd\u00a0<a href=\"https:\/\/physicsgg.me\/2011\/01\/01\/h-%CE%B1%CF%80%CE%B1%CF%81%CF%87%CE%AE-%CF%84%CE%B7%CF%82-%CE%B8%CE%B5%CF%89%CF%81%CE%AF%CE%B1%CF%82-%CF%84%CF%89%CE%BD-%CF%87%CE%BF%CF%81%CE%B4%CF%8E%CE%BD\/\">\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b2\u03ae\u03c4\u03b1 Euler \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b5 \u03bd\u03b1 \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03c5\u03c4\u03b5\u03af \u03c9\u03c2 \u03c0\u03bb\u03ac\u03c4\u03bf\u03c2 \u03c3\u03ba\u03ad\u03b4\u03b1\u03c3\u03b7\u03c2<\/a>. \u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c0\u03bb\u03ac\u03c4\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03cd\u03b1\u03c3\u03b5 \u03bf Veneziano \u03ae\u03c4\u03b1\u03bd \u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03c0\u03c1\u03ce\u03c4\u03b1 \u03c0\u03bb\u03ac\u03c4\u03b7 \u03c4\u03b7\u03c2 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1\u03c2 \u03c7\u03bf\u03c1\u03b4\u03ce\u03bd. \u039f Remmen \u03b5\u03bb\u03c0\u03af\u03b6\u03b5\u03b9 \u03bd\u03b1 \u03b1\u03be\u03b9\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03c0\u03bb\u03ac\u03c4\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03ac\u03b8\u03b5\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b6.<\/p>\n<p>\u039a\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03b1\u03bd\u03bf\u03af\u03b3\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03b4\u03c1\u03cc\u03bc\u03bf \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03b9\u03b8\u03b1\u03bd\u03ae \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03c4\u03b7\u03c2 \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7\u03c2 Riemann.<\/p>\n<p><em>\u03b4\u03b9\u03b1\u03b2\u03ac\u03c3\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1: \u2018<a href=\"https:\/\/www.news.ucsb.edu\/2022\/020520\/quantum-zeta-epiphany\">Quantum Zeta Epiphany<\/a><\/em>\u2018<em>\u00a0\u2013 \u2018<a href=\"https:\/\/arxiv.org\/abs\/2108.07820\">Amplitudes and the Riemann Zeta Function<\/a>\u2018<\/em><!--more--><\/p>\n<p>\u03c0\u03b7\u03b3\u03ae: <a href=\"https:\/\/physicsgg.me\/2022\/01\/22\/%CE%BC%CE%B9%CE%B1-%CE%BA%CE%B2%CE%B1%CE%BD%CF%84%CE%B9%CE%BA%CE%AE-%CE%B5%CF%80%CE%B9%CF%86%CE%BF%CE%AF%CF%84%CE%B7%CF%83%CE%B7-%CE%B3%CE%B9%CE%B1-%CF%84%CE%B7%CE%BD-%CF%83%CF%85%CE%BD%CE%AC%CF%81\/\">https:\/\/physicsgg.me<\/a>\/<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":53067,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false,"jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[33],"tags":[],"jetpack_publicize_connections":[],"yoast_head":"<!-- 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