Sums of Kloosterman sums in the prime geodesic theorem
Number Theory
2018-10-08 v2 Spectral Theory
Abstract
We develop a new method for studying sums of Kloosterman sums related to the spectral exponential sum. As a corollary, we obtain a new proof of the estimate of Soundararajan and Young for the error term in the prime geodesic theorem.
Cite
@article{arxiv.1803.04206,
title = {Sums of Kloosterman sums in the prime geodesic theorem},
author = {Olga Balkanova and Dmitry Frolenkov},
journal= {arXiv preprint arXiv:1803.04206},
year = {2018}
}
Comments
final version; to appear in Q. J. Math