L-Functions in Analytic Number Theory

2022 — 2025

Analytic number theory focuses on arithmetic questions through the lens of L-functions. These generating series encode arithmetic information and have connections with a host of other mathematical fields, such as algebraic number theory, harmonic analysis, Diophantine approximation, probability, representation theory, and computational number theory. The main focuses of this CRG include moments of L-functions and automorphic forms, explicit results in analytic number theory, and comparative prime number theory.

 

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Scientific, Seminar
L-functions in Analytic Number Theory: Jackie Voros
November 5, 2024
Online
The least quadratic non-residue has been a central problem in number theory for centuries. The average least quadratic non-residue was explored by Erdős in the 1960s, and many extensions of this problem such as to the average least character non...
Scientific, Seminar
L-functions in Analytic Number Theory: Henry Twiss
October 29, 2024
Online
Subconvexity problems have maintained extreme interest in analytic number theory for decades. Critical barriers such as the convexity, Burgess, and Weyl bounds hold particular interest because one usually needs to drastically adjust the analytic...
Scientific, Seminar
L-functions in Analytic Number Theory: Martin ÄŒech
October 23, 2024
Online
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...
University of Northern British Columbia
University of Lethbridge
University of British Columbia
PIMS Site Director - University of Lethbridge