On Koyama's refinement of the prime geodesic theorem
Number Theory
2018-03-02 v1
Abstract
We give a new proof of the best presently known error term in the prime geodesic theorem for compact Riemann surfaces, without the assumption of excluding a set of finite logarithmic measure. Stronger implications of the Gallagher-Koyama approach are derived yielding to a further reduction of the error term outside a set of finite logarithmic measure.
Keywords
Cite
@article{arxiv.1701.01642,
title = {On Koyama's refinement of the prime geodesic theorem},
author = {Muharem Avdispahić},
journal= {arXiv preprint arXiv:1701.01642},
year = {2018}
}