Washington State University
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
Neill Hall 5W
April 23, Monday, 4:10 - 5:00 PM
Shenhui Liu
Department of Mathematics
University of Toronto
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
Neill Hall 5W
April 23, Monday, 4:10 - 5:00 PM
Shenhui Liu
Department of Mathematics
University of Toronto
Title: Nonvanishing of L-functions
Abstract: L-functions are important and interesting analytic objects in number theory. The special values of L-functions and their derivatives at the central point of the critical strip are connected with several branches of mathematics. In this talk, we will focus the nonvanishing of such values and will explain how to use the method of moments and the mollification method to obtain strong nonvanishing results for L-functions in various families of automorphic forms. If time permits, we will mention some applications of the nonvanishing results.
Abstract: L-functions are important and interesting analytic objects in number theory. The special values of L-functions and their derivatives at the central point of the critical strip are connected with several branches of mathematics. In this talk, we will focus the nonvanishing of such values and will explain how to use the method of moments and the mollification method to obtain strong nonvanishing results for L-functions in various families of automorphic forms. If time permits, we will mention some applications of the nonvanishing results.