Small first zeros of L-functions

2014/04/25 by Damien Bernard, Bernard, Damien
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.1404.6429

Abstract

From a family of L-functions with unitary symmetry, Hughes and Rudnick obtained results on the height of its lowest zero. We extend their results to other families of Lfunctions according to the type of symmetry coming from statistics for low-lying zeros.

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