Hyperbolic lattice-point counting and modular symbols

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For 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.
14 pages, submitted

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Number Theory, 11F67 (Primary); 11F72, 11M36 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/158734

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.2124
 http://arxiv.org/abs/0804.2124

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arXiv