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arXiv · 1108.6272

Repulsive behavior in an exceptional family

Jeffrey Stopple
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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.

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Jeffrey Stopple. 2012-03-05. Repulsive behavior in an exceptional family. https://arxiv.org/abs/1108.6272

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