English

A simple proof of the Eichler-Selberg trace formula

Number Theory 2018-12-19 v2

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.

Keywords

Cite

@article{arxiv.1711.00327,
  title  = {A simple proof of the Eichler-Selberg trace formula},
  author = {Alexandru A. Popa and Don Zagier},
  journal= {arXiv preprint arXiv:1711.00327},
  year   = {2018}
}

Comments

14 pages. Final version, to appear in J. Reine Angew. Math

R2 v1 2026-06-22T22:32:55.812Z