\t\t\t\tThe next APDE seminar will take place Wednesday, Nov 28, in 740 Evans from 3-4pm.<\/p>\n
Title: Illusions: curves of zeros of Selberg zeta functions<\/p>\n
Abstract: It is well known (since 1956) that the Selberg Zeta function
\nfor compact surfaces satisfies the \u201cRiemann Hypothesis\u201d: any zero in the
\ncritical strip 0<R(s)<1 is either real or Im(s)=1\/2. The question of
\nlocation and distribution of the zeros of the Selberg Zeta function
\nassociated to a noncompact hyperbolic surface attracted attention of the
\nmathematical community in 2014 when numerical experiments by
\nD. Borthwick showed that for certain surfaces zeros seem to lie on
\nsmooth curves. Moreover, the individual zeros are so close to each other
\nthat they give a visual impression that the entire curve is a zero set.<\/p>\n
We will give an overview of the computational methods used, present
\nrecent results, justifying these observations as well as state open
\nconjectures.\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"
The next APDE seminar will take place Wednesday, Nov 28, in 740 Evans from 3-4pm. Title: Illusions: curves of zeros of Selberg zeta functions Abstract: It is well known (since 1956) that the Selberg Zeta function for compact surfaces satisfies the \u201cRiemann Hypothesis\u201d: any zero in the critical strip 0<R(s)<1 is either real or Im(s)=1\/2. […]<\/p>\n","protected":false},"author":104,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-615","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/615","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/104"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=615"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/615\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=615"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=615"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=615"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}