University of Arizona
When
2 – 3 p.m., May 5, 2026
Where
Title: Euler-Kronecker constants of multiplicative sets associated to modular forms mod p
Abstract: The Euler-Kronecker constant of a number field K captures the constant term of the Laurent expansion of the Dedekind zeta function Zeta_K(s) near s = 1 --- that is, the second-order term after the residue at s = 1. We consider generalizations to Dirichlet series associated to multiplicative frobenian functions, specifically those associated to sets of the form {n: a_n(f) doesn't vanish mod p} for f a modular eigenform and p a prime. Joint with Steven Charlton and Pieter Moree. Preprint: https://arxiv.org/abs/2412.01803. Talk should be largely accessible to graduate students with some background in algebraic number theory and representations of finite groups!