Hyperbolic lattice-point counting and modular symbols

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dc.creatorPetridis, Yiannis N.
dc.creatorRisager, Morten S.
dc.date2008-04-14
dc.date.accessioned2026-07-07T09:32:13Z
dc.date.available2026-07-07T09:32:13Z
dc.descriptionFor a cocompact group $\G$ of $\slr$ we fix a real non-zero harmonic 1-form $α$. We study the asymptotics of the hyperbolic lattice-counting problem for $\G$ under restrictions imposed by the modular symbols $\modsymγ{\a}$. We prove that the normalized values of the modular symbols, when ordered according to this counting, have a Gaussian distribution.
dc.description14 pages, submitted
dc.identifierhttps://arxiv.org/abs/0804.2124
dc.identifierhttp://arxiv.org/abs/0804.2124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158734
dc.subjectNumber Theory
dc.subject11F67 (Primary); 11F72, 11M36 (Secondary)
dc.titleHyperbolic lattice-point counting and modular symbols
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