On certain sums generating the Dedekind sums and their reciprocity laws

DOI10.2140/pjm.1957.7.1167zbMath0081.04302OpenAlexW1994068306WikidataQ114845625 ScholiaQ114845625MaRDI QIDQ769499

Miklós Mikolás

Publication date: 1957

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1957.7.1167

zbMATH Keywords

reciprocity lawssums generating the Dedekind sums

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20)

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Elliptic Apostol sums and their reciprocity laws ⋮ A REPRESENTATION OF DEDEKIND SUMS WITH QUASI-PERIODICITY EULER FUNCTIONS ⋮ Applications of the theory of modular forms to number theory ⋮ Invariance solutions and blow-up property for edge degenerate pseudo-hyperbolic equations in edge Sobolev spaces ⋮ An elliptic analogue of generalized Dedekind-Rademacher sums ⋮ Multiplication formulas for Kubert functions ⋮ Dedekind zeta-functions and Dedekind sums ⋮ Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums ⋮ Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform ⋮ Higher-order character Dedekind sum ⋮ Über gewisse Lambertsche Reihen. I: Verallgemeinerung der Modulfunktion \(\eta(\tau)\) und ihrer Dedekindschen Transformationsformel ⋮ A characterization for the validity of the Hermite-Hadamard inequality on a simplex ⋮ On reciprocity formulae for inhomogeneous and homogeneous Dedekind sums ⋮ Explicit evaluations and reciprocity theorems for finite trigonometric sums

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