Number Theory Research Group \u2014 Mathematics Research Center<\/title>\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,600;1,400;1,500&family=DM+Mono:wght@300;400;500&family=Outfit:wght@300;400;500;600&display=swap\" rel=\"stylesheet\">\n<script>MathJax = { tex: { inlineMath: [['\\\\(','\\\\)']] } };<\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-chtml.js\" async><\/script>\n<style>body{background:#eee;padding:2rem;margin:0;}<\/style>\n<\/head>\n<body>\n\n\n<style>\n:root {\n --cream:#F5F0E8;--ink:#1A1610;--rust:#B84A2F;--gold:#C99A2E;\n --slate:#3D4A5C;--mist:#E8EDF4;--rule:#C8BFA8;\n --green:#52B788;--green-bg:#EDF4EC;--green-dk:#2D6A4F;\n --garamond:'EB Garamond',Georgia,serif;\n --mono:'DM Mono',monospace;--sans:'Outfit',sans-serif;\n}\n*,*::before,*::after{box-sizing:border-box;margin:0;padding:0;}\n.grp-block{max-width:980px;margin:0 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\u00b7 ASOIU<\/div>\n <h1>Number Theory Research Group<\/h1>\n <p class=\"grp-hero-sub\">Analytic number theory, \\(L\\)-functions, and Iwasawa theory<\/p>\n <\/div>\n\n <div class=\"grp-body\">\n <div class=\"grp-label\">About the Group<\/div>\n <div class=\"grp-desc\">\n <p>The Number Theory Group pursues research across analytic and algebraic aspects of number theory. On the analytic side, the group studies \\(L\\)-functions, their mean values, discrete moments, and connections to the distribution of primes. Sieve methods, exponential sums, and probabilistic techniques in number theory are also central themes, with applications to the Hardy\u2013Littlewood conjectures and multiplicative functions.<\/p><p>On the algebraic side, the group works in Iwasawa theory, with a focus on \\(p\\)-adic \\(L\\)-functions, Selmer complexes, and Euler systems attached to automorphic Galois representations, connecting classical analytic number theory with the modern arithmetic geometry of eigenvarieties.<\/p>\n <\/div>\n\n <div class=\"grp-label grp-mt\">Members<\/div>\n <div class=\"grp-members\">\n <a class=\"grp-member-card\" href=\"\/index.php\/ertanelma\/\">\n <div class=\"grp-member-placeholder\">EE<\/div>\n <div class=\"grp-member-info\">\n <div class=\"grp-member-name\">Ertan Elma<\/div>\n <div class=\"grp-member-role\">Researcher<\/div>\n <\/div>\n <\/a>\n <a class=\"grp-member-card\" href=\"\/index.php\/firtinakucuk\/\">\n <div class=\"grp-member-placeholder\">FK<\/div>\n <div class=\"grp-member-info\">\n <div class=\"grp-member-name\">F\u0131rt\u0131na K\u00fc\u00e7\u00fck<\/div>\n <div class=\"grp-member-role\">Postdoctoral Fellow<\/div>\n <\/div>\n <\/a>\n <\/div>\n\n <div class=\"grp-lower-grid\">\n \n <div>\n <div class=\"grp-label grp-mt\">Recent Activities<\/div>\n <div id=\"ga-list-number\">\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <\/div>\n <\/div>\n\n \n <div>\n <div class=\"grp-label grp-mt\">Announcements<\/div>\n <div id=\"ga-ann-number\">\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n<\/div>\n\n<script>\n(function(){\n var SITE = window.location.origin;\n var GROUP_TAG_ID = 27; \/\/ Number Theory ID\n var MONTHS = ['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec'];\n\n var SEMINAR_CATS = [6, 7, 8, 15];\n var SEMINAR_MAP = {\n 6: {cls:'seminar', label:'General Seminar'},\n 7: {cls:'seminar', label:'Research Seminar'},\n 8: {cls:'seminar', label:'Student Seminar'},\n 15: {cls:'conference', label:'Conference'},\n 'default': {cls:'default', label:'Seminar'}\n };\n\n var NEWS_CATS = [19, 20, 21, 22, 23, 28];\n var NEWS_MAP = {\n 19: {cls:'publication', label:'Publication'},\n 20: {cls:'seminar-abroad', label:'Seminar abroad'},\n 21: {cls:'new-member', label:'New member'},\n 23: {cls:'award', label:'Award'},\n 28: {cls:'milestone', label:'Milestone'},\n 22: {cls:'visitor', label:'Visitor'},\n 'default': {cls:'default', label:'News'}\n };\n\n function getBadge(cats, map){\n if(cats) for(var i=0;i<cats.length;i++) if(map[cats[i]]) return map[cats[i]];\n return map['default'];\n }\n\n function renderList(posts, map, listEl, emptyMsg){\n if(!posts.length){\n listEl.innerHTML = '<div class=\"grp-placeholder\"><span class=\"grp-placeholder-icon\">\ud83d\udcc5<\/span>' + emptyMsg + '<\/div>';\n return;\n }\n var html = '<ul class=\"ga-list\">';\n posts.forEach(function(p){\n var d = new Date(p.date);\n var badge = getBadge(p.categories, map);\n var title = p.title.rendered.replace(\/<[^>]+>\/g,'');\n html += '<li class=\"ga-item\"><div class=\"ga-date-box\"><span class=\"ga-date-day\">' + d.getDate() + '<\/span><span class=\"ga-date-mon\">' + MONTHS[d.getMonth()] + '<\/span><\/div>' +\n '<div class=\"ga-content\"><span class=\"nb-badge ' + badge.cls + '\">' + badge.label + '<\/span><div class=\"ga-title\">' +\n (p.link ? 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On the analytic side, the group studies \\(L\\)-functions, their mean values, discrete […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-71","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/71","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/comments?post=71"}],"version-history":[{"count":6,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/71\/revisions"}],"predecessor-version":[{"id":582,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/71\/revisions\/582"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=71"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":71,"date":"2026-04-14T03:30:16","date_gmt":"2026-04-14T03:30:16","guid":{"rendered":"https:\/\/mrc-baku.org\/?page_id=71"},"modified":"2026-05-01T18:08:06","modified_gmt":"2026-05-01T18:08:06","slug":"numbertheory","status":"publish","type":"page","link":"https:\/\/mrc-baku.org\/index.php\/numbertheory\/","title":{"rendered":"MRC – Number Theory"},"content":{"rendered":"\n\n\n\n\n\nNumber Theory Research Group \u2014 Mathematics Research Center<\/title>\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,600;1,400;1,500&family=DM+Mono:wght@300;400;500&family=Outfit:wght@300;400;500;600&display=swap\" rel=\"stylesheet\">\n<script>MathJax = { tex: { inlineMath: [['\\\\(','\\\\)']] } };<\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-chtml.js\" 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stroke-width=\"1.5\"><path d=\"M7 1L3 5l4 4\"\/><\/svg>\n Research Groups\n <\/a>\n <div class=\"grp-hero-tag\">Mathematics Research Center \u00b7 ASOIU<\/div>\n <h1>Number Theory Research Group<\/h1>\n <p class=\"grp-hero-sub\">Analytic number theory, \\(L\\)-functions, and Iwasawa theory<\/p>\n <\/div>\n\n <div class=\"grp-body\">\n <div class=\"grp-label\">About the Group<\/div>\n <div class=\"grp-desc\">\n <p>The Number Theory Group pursues research across analytic and algebraic aspects of number theory. On the analytic side, the group studies \\(L\\)-functions, their mean values, discrete moments, and connections to the distribution of primes. Sieve methods, exponential sums, and probabilistic techniques in number theory are also central themes, with applications to the Hardy\u2013Littlewood conjectures and multiplicative functions.<\/p><p>On the algebraic side, the group works in Iwasawa theory, with a focus on \\(p\\)-adic \\(L\\)-functions, Selmer complexes, and Euler systems attached to automorphic Galois representations, connecting classical analytic number theory with the modern arithmetic geometry of eigenvarieties.<\/p>\n <\/div>\n\n <div class=\"grp-label grp-mt\">Members<\/div>\n <div class=\"grp-members\">\n <a class=\"grp-member-card\" href=\"\/index.php\/ertanelma\/\">\n <div class=\"grp-member-placeholder\">EE<\/div>\n <div class=\"grp-member-info\">\n <div class=\"grp-member-name\">Ertan Elma<\/div>\n <div class=\"grp-member-role\">Researcher<\/div>\n <\/div>\n <\/a>\n <a class=\"grp-member-card\" href=\"\/index.php\/firtinakucuk\/\">\n <div class=\"grp-member-placeholder\">FK<\/div>\n <div class=\"grp-member-info\">\n <div class=\"grp-member-name\">F\u0131rt\u0131na K\u00fc\u00e7\u00fck<\/div>\n <div class=\"grp-member-role\">Postdoctoral Fellow<\/div>\n <\/div>\n <\/a>\n <\/div>\n\n <div class=\"grp-lower-grid\">\n \n <div>\n <div class=\"grp-label grp-mt\">Recent Activities<\/div>\n <div id=\"ga-list-number\">\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <\/div>\n <\/div>\n\n \n <div>\n <div class=\"grp-label grp-mt\">Announcements<\/div>\n <div id=\"ga-ann-number\">\n <div class=\"nb-skel\"><div class=\"nb-skel-box nb-skel-d\"><\/div><div style=\"flex:1\"><div class=\"nb-skel-box nb-skel-l1\"><\/div><div class=\"nb-skel-box nb-skel-l2\"><\/div><\/div><\/div>\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n<\/div>\n\n<script>\n(function(){\n var SITE = window.location.origin;\n var GROUP_TAG_ID = 27; \/\/ Number Theory ID\n var MONTHS = ['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec'];\n\n var SEMINAR_CATS = [6, 7, 8, 15];\n var SEMINAR_MAP = {\n 6: {cls:'seminar', label:'General Seminar'},\n 7: {cls:'seminar', label:'Research Seminar'},\n 8: {cls:'seminar', label:'Student Seminar'},\n 15: {cls:'conference', label:'Conference'},\n 'default': {cls:'default', label:'Seminar'}\n };\n\n var NEWS_CATS = [19, 20, 21, 22, 23, 28];\n var NEWS_MAP = {\n 19: {cls:'publication', label:'Publication'},\n 20: {cls:'seminar-abroad', label:'Seminar abroad'},\n 21: {cls:'new-member', label:'New member'},\n 23: {cls:'award', label:'Award'},\n 28: {cls:'milestone', label:'Milestone'},\n 22: {cls:'visitor', label:'Visitor'},\n 'default': {cls:'default', label:'News'}\n };\n\n function getBadge(cats, map){\n if(cats) for(var i=0;i<cats.length;i++) if(map[cats[i]]) return map[cats[i]];\n return map['default'];\n }\n\n function renderList(posts, map, listEl, emptyMsg){\n if(!posts.length){\n listEl.innerHTML = '<div class=\"grp-placeholder\"><span class=\"grp-placeholder-icon\">\ud83d\udcc5<\/span>' + emptyMsg + '<\/div>';\n return;\n }\n var html = '<ul class=\"ga-list\">';\n posts.forEach(function(p){\n var d = new Date(p.date);\n var badge = getBadge(p.categories, map);\n var title = p.title.rendered.replace(\/<[^>]+>\/g,'');\n html += '<li class=\"ga-item\"><div class=\"ga-date-box\"><span class=\"ga-date-day\">' + d.getDate() + '<\/span><span class=\"ga-date-mon\">' + MONTHS[d.getMonth()] + '<\/span><\/div>' +\n '<div class=\"ga-content\"><span class=\"nb-badge ' + badge.cls + '\">' + badge.label + '<\/span><div class=\"ga-title\">' +\n (p.link ? '<a href=\"' + p.link + '\">' + title + '<\/a>' : title) + '<\/div><\/div><\/li>';\n });\n html += '<\/ul>';\n listEl.innerHTML = html;\n }\n\n function fetchFeed(cats, map, listId, emptyMsg){\n var listEl = document.getElementById(listId);\n if(!listEl) return;\n var url = SITE + '\/index.php\/wp-json\/wp\/v2\/posts?per_page=8&tags=' + GROUP_TAG_ID + '&categories=' + cats.join(',') + '&_fields=id,date,link,title,categories&orderby=date&order=desc';\n fetch(url)\n .then(function(r){ return r.ok ? r.json() : Promise.reject(r.status); })\n .then(function(posts){ renderList(posts, map, listEl, emptyMsg); })\n .catch(function(){ listEl.innerHTML = '<div class=\"grp-placeholder\"><span class=\"grp-placeholder-icon\">\ud83d\udcc5<\/span>' + emptyMsg + '<\/div>'; });\n }\n\n function load(){\n fetchFeed(SEMINAR_CATS, SEMINAR_MAP, 'ga-list-number', 'Upcoming number theory seminars and events will appear here.');\n fetchFeed(NEWS_CATS, NEWS_MAP, 'ga-ann-number', 'Recent publications and news for this group will appear here.');\n }\n\n document.readyState === 'loading' ? document.addEventListener('DOMContentLoaded', load) : load();\n})();\n<\/script>\n\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>Number Theory Research Group \u2014 Mathematics Research Center Research Groups Mathematics Research Center \u00b7 ASOIU Number Theory Research Group Analytic number theory, \\(L\\)-functions, and Iwasawa theory About the Group The Number Theory Group pursues research across analytic and algebraic aspects of number theory. On the analytic side, the group studies \\(L\\)-functions, their mean values, discrete […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-71","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/71","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/comments?post=71"}],"version-history":[{"count":6,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/71\/revisions"}],"predecessor-version":[{"id":582,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/pages\/71\/revisions\/582"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=71"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}