- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 2
- Prime geodesic theorem for the modular surface
Prime geodesic theorem for the modular surface
Authors : Muharem Avdispahić
Pages : 505-509
Doi:10.15672/hujms.568323
View : 11 | Download : 7
Publication Date : 2020-04-02
Article Type : Research
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