{"id":25138,"date":"2020-06-19T13:35:55","date_gmt":"2020-06-19T13:35:55","guid":{"rendered":"http:\/\/albertominguez.com\/?p=25138"},"modified":"2022-03-12T13:56:34","modified_gmt":"2022-03-12T13:56:34","slug":"modular-forms","status":"publish","type":"post","link":"http:\/\/albertominguez.com\/?p=25138","title":{"rendered":"Modular Forms"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\">Abstract<\/h4>\n\n\n\n<p>This course is an introduction to Modular Forms. They are holomorphic functions satisfying a certain invariance property under the action of a finite index subgroup of SL2(Z). They have remarkable arithmetical properties encoded in their Fourier coefficients. <\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Cours<\/h4>\n\n\n\n<p>Notes<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Problem Sheets<\/h4>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-1d266fc9-4e58-4066-a3ed-bac7bbe6babc\" href=\"http:\/\/albertominguez.com\/wp-content\/uploads\/2020\/07\/FM_poly.pdf\">PS1<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-8702aecf-acd2-4fbb-8050-c66c75d02d51\" href=\"http:\/\/albertominguez.com\/wp-content\/uploads\/2020\/07\/FM_poly.pdf\">PS2<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-8144f49c-a2a7-4fe9-a092-1b2faa394b0c\" href=\"http:\/\/albertominguez.com\/wp-content\/uploads\/2020\/07\/FM_poly.pdf\">PS3<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-37e7757b-ed26-4b23-91f5-53fa7208a360\" href=\"http:\/\/albertominguez.com\/wp-content\/uploads\/2020\/07\/FM_poly.pdf\">PS4<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-fec3405f-f489-47db-93ef-fc190582166c\" href=\"http:\/\/albertominguez.com\/wp-content\/uploads\/2020\/07\/FM_poly.pdf\">PS5<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-161e0b02-9647-4c0d-bf9e-18c9041fd2e3\" href=\"http:\/\/albertominguez.com\/wp-content\/uploads\/2020\/07\/FM_poly.pdf\">PS6<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-64ccdd20-69e9-46eb-aba9-29245af2e048\" href=\"http:\/\/albertominguez.com\/wp-content\/uploads\/2020\/07\/FM_poly.pdf\">PS7<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-00c65011-4554-4122-81e1-12465f5ce718\" href=\"http:\/\/albertominguez.com\/wp-content\/uploads\/2020\/06\/book-page-1005324.jpg\">PS8<\/a><\/div>\n\n\n\n<h5 class=\"wp-block-heading\">Litterature<\/h5>\n\n\n\n<ul class=\"wp-block-list\"><li>Diamond-Shurman, A first course in modular forms, Springer.<\/li><li>Koblitz, Introduction to elliptic curves and modular forms, Springer<\/li><li>Miyake, Modular Forms, Springer<\/li><li>Serre, Cours d\u2019arithmetique, Presse Universitaire de France.<\/li><li>Shimura, Introduction to the arithmetic theory of Automorphic fonctions, Princeton university Press.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>This course is an introduction to Modular Forms. They are holomorphic functions satisfying a certain invariance property under the action of a finite index subgroup of SL2(Z).<\/p>\n","protected":false},"author":1,"featured_media":25432,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[71],"tags":[],"class_list":["post-25138","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-lecture"],"_links":{"self":[{"href":"http:\/\/albertominguez.com\/index.php?rest_route=\/wp\/v2\/posts\/25138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/albertominguez.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/albertominguez.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/albertominguez.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/albertominguez.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25138"}],"version-history":[{"count":7,"href":"http:\/\/albertominguez.com\/index.php?rest_route=\/wp\/v2\/posts\/25138\/revisions"}],"predecessor-version":[{"id":25829,"href":"http:\/\/albertominguez.com\/index.php?rest_route=\/wp\/v2\/posts\/25138\/revisions\/25829"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/albertominguez.com\/index.php?rest_route=\/wp\/v2\/media\/25432"}],"wp:attachment":[{"href":"http:\/\/albertominguez.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25138"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/albertominguez.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25138"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/albertominguez.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}