English

The prime geodesic theorem in square mean

Number Theory 2024-11-18 v1

Abstract

We strengthen the recent result of Cherubini and Guerreiro on the square mean of the error term in the prime geodesic theorem for PSL2(Z)\mathrm{PSL}_2(\mathbb{Z}). We also develop a short interval version of this result.

Cite

@article{arxiv.1805.07461,
  title  = {The prime geodesic theorem in square mean},
  author = {Antal Balog and András Biró and Gergely Harcos and Péter Maga},
  journal= {arXiv preprint arXiv:1805.07461},
  year   = {2024}
}

Comments

7 pages, LaTeX2e

R2 v1 2026-06-23T02:00:46.759Z