English

Prime geodesic theorem for the modular surface

Number Theory 2018-03-26 v5

Abstract

Under the generalized Lindel\"{o}f hypothesis, the exponent in the error term of the prime geodesic theorem for the modular surface is reduced to 58+ε\frac{5}{8}+\varepsilon outside a set of finite logarithmic measure.

Cite

@article{arxiv.1702.01699,
  title  = {Prime geodesic theorem for the modular surface},
  author = {Muharem Avdispahić},
  journal= {arXiv preprint arXiv:1702.01699},
  year   = {2018}
}

Comments

Another proof of the result stated in version 2. of the paper

R2 v1 2026-06-22T18:10:30.964Z