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

Guillaume Ricotta, Emmanuel Royer

Type: Article

Publication Date: 2010-05-31

Citations: 31

DOI: https://doi.org/10.1515/form.2011.035

Abstract

We study one-level and two-level densities for low-lying zeros of symmetric power L-functions in the level aspect. This 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.

Locations

arXiv (Cornell University) - View
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
Forum Mathematicum - View

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