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25 April 2024

» arxiv » math/0703760

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Statistics for low-lying zeros of symmetric power L-functions in the level aspect
Guillaume Ricotta ; Emmanuel Royer ;
Date:	26 Mar 2007
Subject:	Number Theory
Abstract:	We 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.
Source:	arXiv, math/0703760
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