报告人：Xiannan Li (Kansas State University)

题目：Quadratic twists of modular L-functions

摘要：The behavior of quadratic twists of modular L-functions is at the critical point is related both to coefficients of half integer weight modular forms and data on elliptic curves. Here we describe a proof of an asymptotic for the second moment of this family of L-functions, previously available conditionally on the Generalized Riemann Hypothesis by the work of Soundararajan and Young. Our proof depends on deriving an optimal large sieve type bound.

时间：2023-03-30 10:00-11:00

地点：Zoom: 825 9309 8083, password: 202303