Computing $L$-functions with large conductor

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An algorithm is given to efficiently compute $L$-functions with large conductor in a restricted range of the critical strip. Examples are included for about 21000 dihedral Galois representations with conductor near $10^7$. The data shows good agreement with a symplectic random matrix model. Also included are an elliptic curve $L$-function and one for a quadratic Dirichlet character.
Latex; 15 pages, 4 figures. To appear in Mathematics of Computation. Title changed at referee's request

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Number Theory, 11Y16;11Y35

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http://salesiana.dossiersoluciones.com/handle/123456789/99856

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306101
 http://arxiv.org/abs/math/0306101

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arXiv