English

$PGT$ on $PSL(2,\mathbb{Z})$. A short proof

Number Theory 2018-07-17 v1

Abstract

Taking the Iwaniec explicit formula as a starting point, we give a short proof of a more precise 23\frac{2}{3} bound for the exponent in the error term of the Gallagher-type prime geodesic theorem for the modular surface.

Keywords

Cite

@article{arxiv.1703.00165,
  title  = {$PGT$ on $PSL(2,\mathbb{Z})$. A short proof},
  author = {Muharem Avdispahić},
  journal= {arXiv preprint arXiv:1703.00165},
  year   = {2018}
}
R2 v1 2026-06-22T18:31:51.372Z