Prime geodesic theorem for the modular group
arXiv:1912.01223
Abstract
Soundararajan and Young (2013) proposed a new approach to improve the error term of the prime geodesic theorem for the modular group and actually obtained the exponent 25/36 of the error term. In the present paper, we sharpen it to 9/13.
7 pages. This paper was withdrawn by the author since it includes errors. The author would like to thank Prof. Frolenkov for indicating them