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Beurling zeta functions

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Speaker: 
Frederik Broucke
Affiliation: 
Universiteit Gent
Date: 
Wed, 30/07/2025 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
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.

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