%0 Journal Article
%T On the Prime Geodesic Theorem for Non-Compact Riemann Surfaces
%A Muharem Avdispahi£¿
%A D£¿enan Gu£¿i£¿
%J Advances in Pure Mathematics
%P 903-914
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.612068
%X 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.
%K Selberg Trace Formula
%K Selberg Zeta Function
%K Prime Geodesic Theorem
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=72163