TITLE:
On the Prime Geodesic Theorem for Non-Compact Riemann Surfaces
AUTHORS:
Muharem Avdispahić, Dženan Gušić
KEYWORDS:
Selberg Trace Formula, Selberg Zeta Function, Prime Geodesic Theorem
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.12,
November
22,
2016
ABSTRACT: We use B. Randol’s method to improve the error term in the prime geodesic theorem for a noncompact Riemann surface having at least one cusp. The case considered is a general one, corresponding to a Fuchsian group of the first kind and a multiplier system with a weight on it.