{"id":2,"date":"2024-12-03T16:29:26","date_gmt":"2024-12-03T16:29:26","guid":{"rendered":"https:\/\/tracefunctions.ethz.ch\/?page_id=2"},"modified":"2024-12-16T09:57:25","modified_gmt":"2024-12-16T08:57:25","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/tracefunctions.ethz.ch\/","title":{"rendered":"Trace functions"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">This web site presents resources related to the theory of <em>trace functions<\/em> over finite fields and their applications in number theory, and especially in analytic number theory. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This includes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A selection of <a href=\"https:\/\/tracefunctions.ethz.ch\/index.php\/references-for-trace-functions\/\" data-type=\"page\" data-id=\"30\">written references concerning trace functions<\/a>.<\/li>\n\n\n\n<li>A list of <a href=\"https:\/\/tracefunctions.ethz.ch\/index.php\/talks\/\" data-type=\"page\" data-id=\"38\">lectures about trace functions<\/a> (video recordings and lecture notes).<\/li>\n\n\n\n<li>For Zen-like contemplation of the paths of exponential sums, the <a href=\"https:\/\/blogs.ethz.ch\/kowalski\/the-kloostermania-page\/\">Kloostermania<\/a> page.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">We also provide guidelines and simple steps which may help in answering the basic question:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>How to deal with a concrete exponential sum over finite fields? <\/li>\n<\/ul>\n\n\n\n<p class=\"has-manrope-font-family has-medium-font-size wp-block-paragraph\">(Part of the research presented here is funded by the <a href=\"https:\/\/data.snf.ch\/grants\/grant\/219220\">SNF project SNF_219220<\/a> <em>&#8220;Trace functions and arithmetic Fourier transforms&#8221;<\/em>, and the ANR-SNF Lead Agency Project 10.003.145 <em>&#8220;Equidistribution in number theory&#8221;<\/em>).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Note: <\/strong><em>This site is currently under construction; see the <a href=\"https:\/\/www.math.ethz.ch\/~kowalski\">home page of Emmanuel Kowalski<\/a> for additional material.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This web site presents resources related to the theory of trace functions over finite fields and their applications in number theory, and especially in analytic number theory. This includes: We also provide guidelines and simple steps which may help in answering the basic question: (Part of the research presented here is funded by the SNF [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/tracefunctions.ethz.ch\/index.php\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tracefunctions.ethz.ch\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/tracefunctions.ethz.ch\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/tracefunctions.ethz.ch\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tracefunctions.ethz.ch\/index.php\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":21,"href":"https:\/\/tracefunctions.ethz.ch\/index.php\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":68,"href":"https:\/\/tracefunctions.ethz.ch\/index.php\/wp-json\/wp\/v2\/pages\/2\/revisions\/68"}],"wp:attachment":[{"href":"https:\/\/tracefunctions.ethz.ch\/index.php\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}