Statistics for low-lying zeros of symmetric power L-functions in the level aspect

dc.creatorRicotta, Guillaume
dc.creatorRoyer, Emmanuel
dc.date2007-03-26
dc.date.accessioned2026-07-07T07:53:55Z
dc.date.available2026-07-07T07:53:55Z
dc.descriptionWe study one-level and two-level densities for low lying zeros of symmetric power L-functions in the level aspect. It allows us to completely determine the symmetry types of some families of symmetric power L-functions with prescribed sign of functional equation. We also compute the moments of one-level density and exhibit mock-Gaussian behavior discovered by Hughes & Rudnick.
dc.description45 pages
dc.identifierhttps://arxiv.org/abs/math/0703760
dc.identifierhttp://arxiv.org/abs/math/0703760
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126406
dc.subjectNumber Theory
dc.titleStatistics for low-lying zeros of symmetric power L-functions in the level aspect
dc.typetext

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