Number Theory Seminar

Date: April 16, 2024

Time: 09:45AM - 10:45AM

Location: BLOC 302

Speaker: Eun Hye Lee, Texas Christian University

Title: Subconvexity of Shintani Zeta Functions

Abstract: Subconvexity problem has been a central interest in analytic number theory for over a century. The strongest possible form of the subconvexity problem is the Lindelof hypothesis, which is a consequence of the RH, in the Riemann zeta function case. There have been many attempts to break convexity for diverse zeta and L functions, usually using the moments method. In this talk, I will introduce the Shintani zeta functions, and present another way to prove a subconvex bound.