Open Access
June 2018 Gallagherian $PGT$ on $PSL(2,\mathbb{Z})$
Muharem Avdispahić
Funct. Approx. Comment. Math. 58(2): 207-213 (June 2018). DOI: 10.7169/facm/1686

Abstract

Taking the Iwaniec explicit formula as a starting point, we bound the exponent in the error term of the prime geodesic theorem for the modular surface to $2/3$, outside a set of finite logarithmic measure.

Citation

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Muharem Avdispahić. "Gallagherian $PGT$ on $PSL(2,\mathbb{Z})$." Funct. Approx. Comment. Math. 58 (2) 207 - 213, June 2018. https://doi.org/10.7169/facm/1686

Information

Published: June 2018
First available in Project Euclid: 2 December 2017

zbMATH: 06924927
MathSciNet: MR3816074
Digital Object Identifier: 10.7169/facm/1686

Subjects:
Primary: 11M36
Secondary: 11F72 , 58J50

Keywords: modular group , prime geodesic theorem , Selberg zeta function

Rights: Copyright © 2018 Adam Mickiewicz University

Vol.58 • No. 2 • June 2018
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