Hyperbolic lattice-point counting and modular symbols

DOI10.5802/jtnb.698zbMath1214.11065arXiv0804.2124OpenAlexW2964054699MaRDI QIDQ988074

Morten S. Risager, Yiannis N. Petridis

Publication date: 25 August 2010

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2124

zbMATH Keywords

lattice pointsmodular symbolsGaussian distributiontrace formulahyperbolic surface

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Lattice points in specified regions (11P21) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Construction of Poincaré-type Series by Generating Kernels ⋮ Arithmetic statistics of modular symbols ⋮ On the hyperbolic orbital counting problem in conjugacy classes

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