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Formulas for moments of class numbers in arithmetic progressions

Volume 207 / 2023

Kathrin Bringmann, Ben Kane, Sudhir Pujahari Acta Arithmetica 207 (2023), 19-38 MSC: Primary 11E41; Secondary 11F27, 11F37, 11G05. DOI: 10.4064/aa210927-21-11 Published online: 17 January 2023

Abstract

We obtain explicit formulas for the second moments of Hurwitz class numbers $H(4n-t^2)$ with $t$ running through a fixed congruence class modulo $3$.

Authors

  • Kathrin BringmannDepartment of Mathematics and Computer Science
    University of Cologne
    50931 Cologne, Germany
    e-mail
  • Ben KaneDepartment of Mathematics
    University of Hong Kong
    Pokfulam, Hong Kong
    e-mail
  • Sudhir PujahariSchool of Mathematical Sciences
    National Institute of Science Education and Research, Bhubaneswar
    An OCC of Homi Bhabha National Institute
    P.O. Jatni, Khurda 752050, Odisha, India
    e-mail
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