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On the Prime Geodesic Theorem for Non-Compact Riemann Surfaces

On the Prime Geodesic Theorem for Non-Compact Riemann Surfaces
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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.
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)
出处 《Advances in Pure Mathematics》 2016年第12期903-914,共13页 理论数学进展(英文)
关键词 Selberg Trace Formula Selberg Zeta Function Prime Geodesic Theorem Selberg Trace Formula Selberg Zeta Function Prime Geodesic Theorem
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