P-adic interpolation of dedekind sums

DOI10.1017/S0004972700026848zbMath0632.10023MaRDI QIDQ3768976

No author found.

Publication date: 1988

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

reciprocity lawDirichlet charactersp-adic integralshigher order p-adic Dedekind sumsperiodic Bernoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Dedekind eta function, Dedekind sums (11F20)

Related Items (5)

The \(p\)-adic analytic Dedekind sums ⋮ A REPRESENTATION OF DEDEKIND SUMS WITH QUASI-PERIODICITY EULER FUNCTIONS ⋮ A combinatorial-geometric viewpoint of Knopp's formula for Dedekind sums ⋮ Multiple Dedekind sums attached to Dirichlet characters ⋮ A twisted generalization of the classical Dedekind sum

Cites Work

• On generalized Dedekind sums attached to Dirichlet characters
• Generalized Dedekind sums and transformation formulae of certain Lambert series

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