Dept. of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute (RKMVERI) has organised an colloquium on “Bounds for moments of central values of families of Dirichlet L-functions” by Professor Peng Gao, Beihang University in Beijing, China on 02 July 2021.
Title: Bounds for moments of central values of families of Dirichlet L-functions
Abstract
Moments of central values of families of L-functions are important subjects in analytic number theory. In this talk, I will explain two powerful principles in the study of sharp bounds for these moments: the upper bounds principal of Radziwill and Soundararajan and the lower bounds principal of Heap and Soundararajan. As an application, we will use these principles to obtain sharp bounds for moments of central values of the quadratic family of Dirichlet L-functions.
| Faculty/Staff Name | Details |
|---|---|
| Stephan Baier (Primary Coordinator) | Mathematics – Belur Campus |
| Sudeshna Basu | Mathematics – Belur Campus |
| RKMVERI Faculty & Staff | 40 |
| RKMVERI Students | 40 |