Generalized Dedekind sums

DOI10.1007/BF01114880zbMath0122.05104OpenAlexW2051367756MaRDI QIDQ2626711

Leonard Carlitz

Publication date: 1964

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170287

zbMATH Keywords

generalized Dedekind sumsreciprocity formula

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20)

Related Items (14)

A new generalization of Hardy-Berndt sums ⋮ A REPRESENTATION OF DEDEKIND SUMS WITH QUASI-PERIODICITY EULER FUNCTIONS ⋮ On generalized Eisenstein series and Ramanujan's formula for periodic zeta-functions ⋮ Degenerate and character Dedekind sums ⋮ On generalized Dedekind sums involving quasi-periodic Euler functions ⋮ Applications of the theory of modular forms to number theory ⋮ Quotients of values of the Dedekind eta function ⋮ Counting lattice points in certain rational polytopes and generalized Dedekind sums ⋮ Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series ⋮ On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series ⋮ Reciprocity theorems for Dedekind sums and generalizations ⋮ Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums ⋮ On generalized Dedekind sums ⋮ Higher-order character Dedekind sum

Cites Work

• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Theorems on generalized Dedekind sums
• The reciprocity theorem for Dedekind sums

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