Quadratic twists of modular L-functions
Location
Zoom and 383N
Event Series
Event Type
Seminar
Monday, November 14, 2022 2:30 PM
Xiannan Li (Kansas State)
Quadratic twists of modular L-functions
Abstract: 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.