LOCAL AVERAGE OF THE HYPERBOLIC CIRCLE PROBLEM FOR FUCHSIAN GROUPS

DOI10.1112/S0025579317000419zbMath1428.11094arXiv1709.03282OpenAlexW2964095847MaRDI QIDQ4604495

András Biró

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03282

zbMATH Keywords

Fuchsian groupshyperbolic circle problemlocal average

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

The prime geodesic theorem in square mean ⋮ CM-points and lattice counting on arithmetic compact Riemann surfaces

Cites Work

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• Fourier coefficients of the resolvent for a Fuchsian group.
• On a generalization of the Selberg trace formula
• Ein Gitterpunktproblem in der hyperbolischen Ebene

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