CMI-IMSc Number Theory Seminar
Date: Tuesday, 16 September 2025
Time: 3:30 p.m to 4:30 p.m
Venue: Seminar Hall, CMI
Second moment of cubic Dirichlet L-functions over function fields
Shivani Goel
Chennai Mathematical Institute.
16-09-25

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Abstract

The study of moments of Dirichlet L-functions at the central point 1/2 is a fundamental problem in analytic number theory. Such moments capture the statistical distribution of central values and also provide tools for proving non-vanishing results. In this talk, I will present recent work on the second moment of cubic Dirichlet L functions at the central point over rational function fields. Our result extends prior work of David, Florea and Lalin, who obtained an asymptotic formula for the first moment. This is a joint work with Anwesh Ray.