English

Trace formula and functional equation

Number Theory 2025-01-10 v2

Abstract

We present a "beyond-endoscopic" treatment of the functional equation for the standard LL-function of a holomorphic cusp form with level and nebentypus. We use Petersson's formula and methods from Venkatesh's thesis and "spectral reciprocity".

Cite

@article{arxiv.2410.16921,
  title  = {Trace formula and functional equation},
  author = {Chung-Hang Kwan and Wing Hong Leung},
  journal= {arXiv preprint arXiv:2410.16921},
  year   = {2025}
}

Comments

13 pages

R2 v1 2026-06-28T19:31:21.430Z