Repulsive behavior in an exceptional family

Details Repulsive behavior in an exceptional family Repulsive behavior in an exceptional family

2011-08-31

arxiv.org/abs/1108.6272v3

Mathematics

Number Theory

Minor revisions per referee's comments. To appear in Acta Arithmetica

Scientific paper

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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