Quadratic twists of modular L-functions
Quadratic twists of modular L-functions
-
Xiannan Li, Kansas State University
Online Talk
Meeting ID:听 920 2195 5230
Passcode:听 听 The three-digit integer that is the cube of the sum of its digits.听
The behavior of quadratic twists of modular L-functions is at the critical point is related both to coefficients of half integer听 weight modular forms and data on elliptic curves. 听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. 听Our proof depends on deriving an optimal large sieve type bound.