Some arithmetic on the Hardy sums \(s_2(h,k)\) and \(s_3(h,k)\)
type: Item
instance of: scholarly article
title: Some arithmetic on the Hardy sums \(s_2(h,k)\) and \(s_3(h,k)\)
zbMATH Open document ID: 1058.11031
author: Mümün Can
publication date: 2004-11-25T00:00:00Z
review text: There are five types of Hardy sums analogous to the classical Dedekind sums. The author relates two of these through rather complicated identities, and also derives some inequalities related to questions raised by Rademacher for Dedekind sums.
Mathematics Subject Classification ID: 11F20
zbMATH DE Number: 2119037
zbMATH Keywords: identities
zbMATH Keywords: inequalities
zbMATH Keywords: Hardy sums
zbMATH Keywords: Dedekind sums
reviewed by: Tom M. Apostol
MaRDI profile type: Publication
full work available at URL: s10114-004-0324-4
OpenAlex ID: W2050707628
cites work: On the theory of Dedekind sums.
cites work: Continued fractions and density results for Dedekind sums.
cites work: Elementary proofs of Berndt's reciprocity laws
cites work: Analytic Properties of Arithmetic Sums Arising in the Theory of the Classical Theta-Functions
cites work: Properties of certain integer-valued analogues of Dedekind sums
cites work: Dedekind and Hardy sums
DOI: 10.1007/S10114-004-0324-4
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 2119037