Some arithmetic on the Hardy sums \(s_2(h,k)\) and \(s_3(h,k)\)
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Publication:1887412
DOI10.1007/s10114-004-0324-4zbMath1058.11031OpenAlexW2050707628MaRDI QIDQ1887412
Publication date: 25 November 2004
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-004-0324-4
Related Items (6)
Transformation formulas of a character analogue of $\log \theta _{2}(z)$ ⋮ A new generalization of Hardy-Berndt sums ⋮ Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum ⋮ On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum ⋮ CHARACTER ANALOGUES OF CERTAIN HARDY–BERNDT SUMS ⋮ Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums
Cites Work
- On the theory of Dedekind sums.
- Elementary proofs of Berndt's reciprocity laws
- Analytic Properties of Arithmetic Sums Arising in the Theory of the Classical Theta-Functions
- Dedekind and Hardy sums
- Continued fractions and density results for Dedekind sums.
- Properties of certain integer-valued analogues of Dedekind sums
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