Number Theory seminar
- Event Type
- Lecture
- Sponsor
- Department of Mathematics
- Location
- Zoom
- Date
- Feb 7, 2023 11:00 am
- Speaker
- Xiannan Li (Kansas State)
- Contact
- Kevin Ford
- ford126@illinois.edu
- Views
- 10
- Title: 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.