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A moment with L-functions

Speaker: Matilde Lalín

Date: Thu, May 12, 2022

Location: PIMS, University of British Columbia, Online, Zoom

Conference: PIMS Network Wide Colloquium, 2022 Celebration of Women in Mathematics

Subject: Mathematics, Number Theory

Class: Scientific

Abstract:

The Riemann zeta function plays a central role in our understanding of the prime numbers. In this talk we will review some of its amazing properties as well as properties of other similar functions, the Dirichlet L-functions. We will then see how the method of moments can help us in the study of L-functions and some surprising properties of their values. This talk will be accessible to advanced undergraduate students and is part of the May12, Celebration of Women in Mathematics.