The Prime Geodesic Theorem
Number Theory
2014-05-22 v1
Abstract
We study the distribution of closed geodesics for the modular surface. We improve the error term in the prime geodesic theorem, and obtain results on prime geodesics in very short intervals conditionally on the generalized Riemann Hypothesis for Dirichlet L-functions. We emphasize a connection between the closed geodesics and certain Dirichlet L-functions.
Cite
@article{arxiv.1011.5486,
title = {The Prime Geodesic Theorem},
author = {K. Soundararajan and Matthew P. Young},
journal= {arXiv preprint arXiv:1011.5486},
year = {2014}
}
Comments
13 pages