Statistics for low-lying zeros of symmetric power L-functions in the level aspect
Number Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0703760,
title = {Statistics for low-lying zeros of symmetric power L-functions in the level aspect},
author = {Guillaume Ricotta and Emmanuel Royer},
journal= {arXiv preprint arXiv:math/0703760},
year = {2007}
}
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45 pages