Periodicity of traces of Hecke operators modulo prime powers

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Jonas Bergström, Sjoerd de Vries
DOI: 10.48550/arxiv.2601.03029
Cited by: 0

Abstract

We study traces of Hecke operators on spaces of elliptic cusp forms and Drinfeld cusp forms and show that, modulo any prime power, these traces are periodic in the weight.

Fields of Study & Subjects

Analytic Number Theory Research Advanced Algebra and Geometry Advanced Mathematical Identities

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 January 2026
Document type
Preprint