A simple proof of the Eichler-Selberg trace formula
Alexandru A. Popa, Don Zagier
TL;DR
This paper presents a concise proof of the Eichler-Selberg trace formula for Hecke operators on modular forms, utilizing their action on period polynomials to simplify the derivation.
Contribution
It introduces a novel, simplified proof method for the trace formula by leveraging the relationship between Hecke operators and period polynomials.
Findings
Simplified proof of the Eichler-Selberg trace formula
Demonstrates the effectiveness of using period polynomials in trace calculations
Provides insights into the structure of Hecke operators on modular forms
Abstract
We give a short proof of the trace formula for Hecke operators on modular forms for the modular group, using the action of Hecke operators on the space of period polynomials.
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