On the prime geodesic theorem for hyperbolic 3-manifolds
Number Theory
2018-07-17 v1
Abstract
Through the Selberg zeta approach, we reduce the exponent in the error term of the prime geodesic theorem for cocompact Kleinian groups or Bianchi groups from Sarnak's to . At the cost of excluding a set of finite logarithmic measure, the bound is further improved to .
Cite
@article{arxiv.1705.05626,
title = {On the prime geodesic theorem for hyperbolic 3-manifolds},
author = {Muharem Avdispahić},
journal= {arXiv preprint arXiv:1705.05626},
year = {2018}
}