Computing $L$-functions with large conductor

dc.creatorStopple, Jeffrey
dc.date2003-06-05
dc.date2006-05-05
dc.date.accessioned2026-07-07T06:35:39Z
dc.date.available2026-07-07T06:35:39Z
dc.descriptionAn 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.
dc.descriptionLatex; 15 pages, 4 figures. To appear in Mathematics of Computation. Title changed at referee's request
dc.identifierhttps://arxiv.org/abs/math/0306101
dc.identifierhttp://arxiv.org/abs/math/0306101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99856
dc.subjectNumber Theory
dc.subject11Y16;11Y35
dc.titleComputing $L$-functions with large conductor
dc.typetext

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