On the identity involving certain Hardy sums and Kloosterman sums

DOI10.1186/1029-242X-2014-52zbMath1371.11126WikidataQ59324218 ScholiaQ59324218MaRDI QIDQ2405566

Han Zhang, Wen Peng Zhang

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Gauss sumsKloosterman sumsidentityhybrid mean valuecomputational formulacertain Hardy sums

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (9)

Some identities involving certain Hardy sum and Kloosterman sum ⋮ New identities involving Hardy sums \(S_3(h, k)\) and general Kloosterman sums ⋮ Transformation formulas of a character analogue of $\log \theta _{2}(z)$ ⋮ Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum ⋮ New identities involving certain Hardy sums and two-term exponential sums ⋮ On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum ⋮ Unnamed Item ⋮ Character analogue of the Boole summation formula with applications ⋮ On some identities involving certain Hardy sums and a Kloosterman sum

Cites Work

• On the mean values of Dedekind sums
• Mean values of Dedekind sums
• Some theorems on generalized Dedekind sums
• Dedekind and Hardy sums
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
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