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An elementary proof of the Petersson-Knopp theorem on Dedekind sums

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Publication:1144593
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DOI10.1016/0022-314X(80)90044-XzbMath0444.10006MaRDI QIDQ1144593

Larry A. Goldberg

Publication date: 1980

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

Dedekind sumsPetersson-Knopp theorem


Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20)


Related Items (6)

Algebraic properties of the values of newform Dedekind sums ⋮ Identities for sums of Dedekind type ⋮ Generalized Knopp identities for homogeneous Hardy sums and Cochrane-Hardy sums ⋮ Sur les sommes de Dedekind attachées aux groupes de congruence ⋮ Higher-order character Dedekind sum ⋮ On powers of the denominators of rationals



Cites Work

  • Unnamed Item
  • Hecke operators and an identity for the Dedekind sums
  • Dedekind sums and Hecke operators


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