Repulsive behavior in an exceptional family
Number Theory
2012-03-06 v3
Abstract
The existence of a Landau-Siegel zero leads to the Deuring-Heilbronn phenomenon, here appearing in the 1-level density in a family of quadratic twists of a fixed genus character L-function. We obtain explicit lower order terms describing the vertical distribution of the zeros, and realize the influence of the Landau-Siegel zero as a resonance phenomenon.
Cite
@article{arxiv.1108.6272,
title = {Repulsive behavior in an exceptional family},
author = {Jeffrey Stopple},
journal= {arXiv preprint arXiv:1108.6272},
year = {2012}
}
Comments
Minor revisions per referee's comments. To appear in Acta Arithmetica