Moments of real Dirichlet L-functions and multiple Dirichlet series
Speaker: Martin Čech
Date: Wed, Oct 23, 2024
Location: PIMS, University of Northern British Columbia, Zoom, Online
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Date: Wed, Oct 23, 2024
Location: PIMS, University of Northern British Columbia, Zoom, Online
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Abstract:
There are two ways to compute moments in families of L-functions: one uses the approximation by Dirichlet polynomials, and the other is based on multiple Dirichlet series. We will introduce the two methods to study the family of real Dirichlet L-functions, compare them and show that they lead to the same results. We will then focus on obtaining the meromorphic continuation of the associated multiple Dirichlet series.
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