{"id":2573,"date":"2019-04-26T17:53:01","date_gmt":"2019-04-26T17:53:01","guid":{"rendered":"http:\/\/wordpress.library.illinois.edu\/mtx\/?p=2573"},"modified":"2025-07-01T16:07:36","modified_gmt":"2025-07-01T16:07:36","slug":"analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan","status":"publish","type":"post","link":"https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/","title":{"rendered":"Analytic and Combinatorial Number Theory: The Legacy of Ramanujan"},"content":{"rendered":"<p><!--more--><\/p>\n<p><strong>Now on Display in the Math Library: Analytic and Combinatorial Number Theory Conference Spotlight!<\/strong><\/p>\n<p>In honor of Dr. Bruce Berndt\u2019s 80<sup>th<\/sup> birthday the Mathematics Department at the University of Illinois is hosting the conference <em>Analytic and Combinatorial Number Theory: The Legacy of Ramanujan<\/em> from June 6-9<sup>th<\/sup>. The topics for the conference include all areas of number theory, with a focus on those areas that have been influenced by Srinivasa Ramanujan.\u00a0The conference will feature a broad spectrum of invited talks as well as opportunities for contributed talks. Dr. Berndt has been a faculty member at Illinois for 52 years. He has written more than 240 papers and 14 books, and has supervised <a href=\"http:\/\/www.genealogy.ams.org\/id.php?id=8571\">36 PhD students<\/a> during this period.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2574 aligncenter\" src=\"http:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/conferencePoster.png\" alt=\"\" width=\"529\" height=\"818\" srcset=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/conferencePoster.png 529w, https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/conferencePoster-194x300.png 194w\" sizes=\"auto, (max-width: 529px) 100vw, 529px\" \/><\/p>\n<p>Items on display:<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99390703612205899\">Analytic number theory : proceedings of a conference in honor of Heini Halberstam<\/a> \/ Berndt, Bruce C., Diamond, Harold G., Halberstam, H., and Hildebrand, Adolf J.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99954905693505899\">Analytic number theory: proceedings of a conference in honor of Paul T. Bateman<\/a> \/ Bateman, P. T., Berndt, Bruce C.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma9965909412205899\">Chapter 9 of Ramanujan&#8217;s second notebook : infinite series identities, transformations, and evaluations<\/a> \/ Berndt, Bruce C. and Joshi Padmini T.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99406538012205899\">Gauss and Jacobi sums<\/a> \/ Berndt, Bruce C., Evans, Ronald J., and Williams, Kenneth S.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99559179512205899\">Hecke&#8217;s theory of modular forms and Dirichlet series<\/a> \/ Berndt, Bruce C., Hecke, Erich, and Knopp, Marvin Isadore<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma9954944612205899\">Hecke&#8217;s theory of modular forms and Dirichlet series : lecture notes, spring 1970<\/a> \/ Berndt, Bruce C.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99755800612205899\">Identities involving the coefficients of a class of Dirichlet series<\/a> \/ Berndt, Bruce C.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99471770812205899\">Number theory and modular forms: papers in memory of Robert A. Rankin<\/a> \/ Rankin, Robert A., Berndt, Bruce C., and Ono, Ken.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99800519812205899\">Number theory in the spirit of Ramanujan<\/a> \/ Berndt, Bruce C.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99861025512205899\">Ramanujan : essays and surveys<\/a> \/ Berndt, Bruce C. and Rankin, Robert A.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99751458212205899\">Ramanujan&#8217;s forty identities for the Rogers-Ramanujan functions<\/a>\/ Berndt Bruce C.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99385843312205899\">Ramanujan : letters and commentary<\/a> \/ Rankin, Robert A., and Berndt, Bruce C.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99509466812205899\">Ramanujan&#8217;s lost notebook<\/a> \/ Andrews, George E. and Berndt, Bruce C.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99358861312205899\">Ramanujan&#8217;s notebooks<\/a> \/ Ramanujan Aiyangar, Srinivasa and Berndt, Bruce C.<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma9956862912205899\">Rudiments of the theory of the gamma function<\/a> \/ Berndt, Bruce C.<\/p>\n<p>Journals on display:<br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma9948899812205899\">Advances in applied mathematics<\/a><br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99522738912205899\">International journal of number theory<\/a><br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma9952926812205899\">Journal of mathematical analysis and applications<\/a><br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma9967182312205899\">Note di matematica<\/a><br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99467791512205899\">South East Asian journal of mathematics and mathematical sciences<\/a><br \/>\n<a href=\"https:\/\/i-share-uiu.primo.exlibrisgroup.com\/permalink\/01CARLI_UIU\/gpjosq\/alma99390577012205899\">The Ramanujan journal<\/a><\/p>\n<div id='gallery-1' class='gallery galleryid-2573 gallery-columns-4 gallery-size-thumbnail'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/analyticnumbertheory\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/analyticNumberTheory-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/essaysandsurveys\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/essaysandSurveys-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/fortyidentities\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/fortyIdentities-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/gaussandjacobi\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/gaussandJacobi-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/heckestheory\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/heckesTheory-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/lettersandcommentary\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/lettersandCommentary-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/spiritoframanujan\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/spiritofRamanujan-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/notebook1\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/Notebook1-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/lostnotebook\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/LostNotebook-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/aaa\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/AAA-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/appliedmath\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/AppliedMath-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/ramanujanjournal\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/RamanujanJournal-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/wordpress.library.illinois.edu\/mtx\/2019\/04\/26\/analytic-and-combinatorial-number-theory-the-legacy-of-ramanujan\/rar\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-content\/uploads\/sites\/18\/2019\/04\/Rar-150x150.png\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure>\n\t\t<\/div>\n\n<p>&nbsp;<\/p>\n<p>A special thanks to Joshua Hackel, Grainger Engineering Library Graduate Assistant, for creating this Mathematics Library exhibit.<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":472,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-2573","post","type-post","status-publish","format-standard","hentry","category-exhibits"],"acf":[],"_links":{"self":[{"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/posts\/2573","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/users\/472"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/comments?post=2573"}],"version-history":[{"count":16,"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/posts\/2573\/revisions"}],"predecessor-version":[{"id":3921,"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/posts\/2573\/revisions\/3921"}],"wp:attachment":[{"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/media?parent=2573"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/categories?post=2573"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wordpress.library.illinois.edu\/mtx\/wp-json\/wp\/v2\/tags?post=2573"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}