Prime geodesic theorem for the modular surface

Authors : Muharem AVDİSPAHİĆ

Pages : 505-509

Doi:10.15672/hujms.568323

View : 19 | Download : 12

Publication Date : 2020-04-02

Article Type : Research Paper

Abstract :Under the generalized Lindelöf hypothesis, the exponent in the error term of the prime geodesic theorem for the modular surface is reduced to $\frac{5}{8}+\varepsilon$ outside a set of finite logarithmic measure.
Keywords : prime geodesic theorem, Selberg zeta function, modular group