[Report] Colloquium on “Moments of central values of quartic Dirichlet L-functions” by Prof. Liangyi Zhao – 20 August 2021

REPORT
Special Lecture: Colloquium on “Moments of central values of quartic Dirichlet L-functions” by Prof. Liangyi Zhao – 20 August 2021
Type: Special Lecture – Colloquium
Event Date: 20 Aug 2021
Venue: Online
Campus: Belur Campus
Department: Mathematics

Dept. of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute (RKMVERI) has organised an colloquium on “Moments of central values of quartic Dirichlet L-functions” by Professor Liangyi Zao, University of New South Wales, Sydney, Australia on 20 August 2021.

Title: Moments of central values of quartic Dirichlet L-functions

Abstract

I will present an asymptotic formula for the moments of the central values of quartic Dirichlet L-functions.  A corollary of the result is a quantitative non-vanishing theorem for these L-values.  One of the key inputs is a large sieve type inequality for quartic Dirichlet characters.  This is joint work with P. Gao.

Activity Coordinator(s)
Faculty/Staff Name Details
Stephan Baier (Primary Coordinator) Mathematics – Belur Campus
Participant Information
RKMVERI Faculty & Staff 30
RKMVERI Students 30