On Koyama’s refinement of the prime geodesic theorem

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Muharem Avdispahić¹ 

[1] Department of Mathematics, University of Sarajevo

关键词: Prime geodesic theorem;    Selberg zeta function;    hyperbolic manifolds.;   

DOI  :  10.3792/pjaa.94.21

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We give a new proof of the best presently-known error term in the prime geodesic theorem for compact hyperbolic surfaces, without the assumption of excluding a set of finite logarithmic measure. Stronger implications of the Gallagher-Koyama approach are derived, yielding to a further reduction of the error term outside a set of finite logarithmic measure.

【 授权许可】

Unknown