Local average in hyperbolic lattice point counting, with an appendix by Niko Laaksonen

DOI10.1007/s00209-016-1749-zzbMath1423.11104arXiv1408.5743OpenAlexW2531580604MaRDI QIDQ522046

Yiannis N. Petridis, Morten S. Risager

Publication date: 12 April 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5743

zbMATH Keywords

quantum ergodicityhyperbolic lattice point problem

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items

Mean square in the prime geodesic theorem, Sums of squares in real quadratic fields and Hilbert modular groups, Spectral exponential sums on hyperbolic surfaces, LOCAL AVERAGE OF THE HYPERBOLIC CIRCLE PROBLEM FOR FUCHSIAN GROUPS, The prime geodesic theorem in square mean, Bounds for a spectral exponential sum, Prime geodesic theorem for the Picard manifold, CM-points and lattice counting on arithmetic compact Riemann surfaces, Prime geodesic theorem in the 3-dimensional hyperbolic space, The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i)\) and spectral exponential sums]

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