English

A note on the trace formula

Number Theory 2024-03-26 v3

Abstract

In this mostly expository note, we prove explicit formulas for the traces of Hecke operators on spaces of cusp forms fixed by Atkin-Lehner involutions, which are suitable for efficient implementation. In addition, we correct a couple of errors in previously published formulas.

Keywords

Cite

@article{arxiv.2311.03523,
  title  = {A note on the trace formula},
  author = {Eran Assaf},
  journal= {arXiv preprint arXiv:2311.03523},
  year   = {2024}
}

Comments

21 pages

R2 v1 2026-06-28T13:13:17.783Z