The fourth moment of quadratic Dirichlet L-functions
Speaker: Quanli Shen
Date: Mon, Mar 18, 2024 to Thu, Apr 18, 2024
Location: PIMS, University of Lethbridge, Online, Zoom
Conference: Analytic Aspects of L-functions and Applications to Number Theory
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Date: Mon, Mar 18, 2024 to Thu, Apr 18, 2024
Location: PIMS, University of Lethbridge, Online, Zoom
Conference: Analytic Aspects of L-functions and Applications to Number Theory
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Abstract:
I will discuss the fourth moment of quadratic Dirichlet L-functions where we prove an asymptotic formula with four main terms unconditionally. Previously, the asymptotic formula was established with the leading main term under generalized Riemann hypothesis. This work is based on Li's recent work on the second moment of quadratic twists of modular L-functions. It is joint work with Joshua Stucky.
