Beurling zeta functionsMPIM

by Frederik Broucke (Universiteit Gent)

Wednesday Jul 30, 2025, 2:30 PM → 3:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Number theory lunch seminar

We give an introduction to Beurling generalized number systems and their associated zeta functions. These admit an Euler product, but typically lack a functional equation or meromorphic continuation to the whole plane. We give an overview of some analytic properties (e.g. growth and zero-distribution) and also discuss several interesting examples.