Speaker:
Xiannan Li
Speaker Link:
Institution:
Kansas State University
Time:
Thursday, January 12, 2023 - 10:00am to 11:00am
Location:
https://uci.zoom.us/j/95304920920
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.