Modular symbols have a normal distribution

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We prove that the modular symbols appropriately normalized and ordered have a Gaussian distribution for all cofinite subgroups of SL_2(R). We use spectral deformations to study the poles and the residues of Eisenstein series twisted by power of modular symbols.
32 pages

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Number Theory, 11F67; 11F72, 11M36

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http://salesiana.dossiersoluciones.com/handle/123456789/68305

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308120
 http://arxiv.org/abs/math/0308120

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arXiv