On the Prime Geodesic Theorem for Non-Compact Riemann Surfaces  

作　　者：Muharem Avdispahić Dženan Gušić Muharem Avdispahić;Dženan Gušić(Department of Mathematics, Faculty of Sciences and Mathematics, University of Sarajevo, Sarajevo, Bosnia and Herzegovina)

机构地区：[1]Department of Mathematics, Faculty of Sciences and Mathematics, University of Sarajevo, Sarajevo, Bosnia and Herzegovina

出　　处：《Advances in Pure Mathematics》2016年第12期903-914,共13页理论数学进展（英文）

摘　　要：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.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.

关 键 词：Selberg Trace Formula Selberg Zeta Function Prime Geodesic Theorem 

分 类 号：O17[理学—数学]