English

A note on Poisson summation for GL(2)

Number Theory 2026-02-13 v2 Representation Theory

Abstract

Using analytic number theory techniques, Altu\u{g} showed that the contribution of the trivial representation to the Arthur-Selberg trace formula for GL(2) over \Q\Q could be cancelled by applying a modified Poisson summation formula to the regular elliptic contribution. Drawing on recent works, we re-examine these methods from an adelic perspective.

Cite

@article{arxiv.2510.02273,
  title  = {A note on Poisson summation for GL(2)},
  author = {Tian An Wong},
  journal= {arXiv preprint arXiv:2510.02273},
  year   = {2026}
}

Comments

18 pages. Comments welcome

R2 v1 2026-07-01T06:13:48.798Z