{"id":653,"date":"2024-10-21T15:35:23","date_gmt":"2024-10-21T15:35:23","guid":{"rendered":"https:\/\/as.vanderbilt.edu\/newmath2025\/?p=653"},"modified":"2025-03-11T18:49:39","modified_gmt":"2025-03-11T18:49:39","slug":"number-theory-seminar-october-21-2024","status":"publish","type":"post","link":"https:\/\/as.vanderbilt.edu\/math\/2024\/10\/21\/number-theory-seminar-october-21-2024\/","title":{"rendered":"Number Theory Seminar: October 21, 2024"},"content":{"rendered":"<p><strong>Location:<\/strong> 12 p.m. in Buttrick Hall, room\u00a0206<\/p>\n<p><strong>Speaker:<\/strong> Hui Xue (Clemson University)<\/p>\n<p><strong>Title:<\/strong> Subspaces spanned by eigenforms with nonzero central L-values<\/p>\n<p><strong>Abstract: <\/strong>In this talk, we discuss explicit spanning sets for two vector spaces. One is the subspace generated by integral-weight Hecke eigenforms with nonzero central L- values. The other is a subspace generated by half-integral weight Hecke eigenforms with nonvanishing first Fourier coefficients. We also show that these two spaces are isomorphic via the Shimura lift.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Location: 12 p.m. in Buttrick Hall, room\u00a0206 Speaker: Hui Xue (Clemson University) Title: Subspaces spanned by eigenforms with nonzero central L-values Abstract: In this talk, we discuss explicit spanning sets for two vector spaces. One is the subspace generated by integral-weight Hecke eigenforms with nonzero central L- values. The other is a subspace generated by&#8230;<\/p>\n","protected":false},"author":74,"featured_media":749,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[11],"tags":[],"acf":[],"jetpack_featured_media_url":"https:\/\/as.vanderbilt.edu\/math\/wp-content\/uploads\/sites\/69\/2025\/03\/number-theory.png","_links":{"self":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/653"}],"collection":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/users\/74"}],"replies":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/comments?post=653"}],"version-history":[{"count":1,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/653\/revisions"}],"predecessor-version":[{"id":654,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/653\/revisions\/654"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media\/749"}],"wp:attachment":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media?parent=653"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/categories?post=653"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/tags?post=653"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}