Sums of Kloosterman sums in the prime geodesic theorem

DOI10.1093/qmath/hay060zbMath1456.11144arXiv1803.04206OpenAlexW2963045023MaRDI QIDQ5225869

Olga G. Balkanova, Dmitriy A. Frolenkov

Publication date: 29 July 2019

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04206

zbMATH Keywords

Kloosterman sumprime geodesic theoremspectral exponential sum

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (7)

Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip ⋮ Prime geodesics and averages of the Zagier L-series ⋮ Gallagherian prime geodesic theorem in higher dimensions ⋮ Selberg's zeta function for the modular group in the critical strip ⋮ A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight ⋮ The second moment for counting prime geodesics ⋮ Prime geodesic theorem in the 3-dimensional hyperbolic space

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