English

Prime geodesic theorem of Gallagher type

Number Theory 2017-01-10 v1

Abstract

We reduce the exponent in the error term of the prime geodesic theorem for compact Riemann surfaces from 34\frac{3}{4} to 710\frac{7}{10} outside a set of finite logarithmic measure.

Cite

@article{arxiv.1701.02115,
  title  = {Prime geodesic theorem of Gallagher type},
  author = {Muharem Avdispahić},
  journal= {arXiv preprint arXiv:1701.02115},
  year   = {2017}
}
R2 v1 2026-06-22T17:44:33.225Z