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arXiv · 2306.10396

A trace formula for Hecke operators on Fuchsian groups

Alexandru A. Popa
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Abstract

In this paper we give a trace formula for Hecke operators acting on the cohomology of a Fuchsian group of finite covolume, with coefficients in a module $V$. The proof is based on constructing an operator whose trace on $V$ equals the Lefschetz number of the Hecke correspondence on cohomology, generalizing the operator introduced together with Don Zagier for the modular group.

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Alexandru A. Popa. 2023-06-17. A trace formula for Hecke operators on Fuchsian groups. https://arxiv.org/abs/2306.10396

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