Formulas for moments of class numbers in arithmetic progressions

2021/09/15 by Kathrin Bringmann, Ben Kane, Bringmann, Kathrin +3
Mathematics · #11E41 #11F27 #11F37 #11G05 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11E41 #msc:11F27 #msc:11F37 #msc:11G05

paper · pdf · doi:10.48550/arxiv.2109.07325

arxiv created 2021/09/15 · arxiv updated 2021/09/16

Abstract

In this paper, we obtain explicit formulas for the second moments for Hurwitz class numbers H(4n-t²) with t running through a fixed congruence class modulo 3.

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