Repulsive behavior in an exceptional family

Published 31 Aug 2011 in math.NT | (1108.6272v3)

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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Authors (1)

Jeffrey Stopple

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