Prime geodesic theorem for the modular surface

Year 2020, Volume: 49 Issue: 2, 505 - 509, 02.04.2020

Muharem Avdispahić

https://doi.org/10.15672/hujms.568323

Cited By: 2

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

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