Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum

DOI10.1007/s10474-022-01277-4OpenAlexW4309646872MaRDI QIDQ2681267

Muhammet Cihat Dağlı

Publication date: 7 February 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-022-01277-4

zbMATH Keywords

Hurwitz zeta-functionKloosterman sumDedekind sumHardy sumHybrid mean value

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Dedekind eta function, Dedekind sums (11F20) Hurwitz and Lerch zeta functions (11M35)

Cites Work

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• Some identities involving certain Hardy sum and Kloosterman sum
• The \(p\)-adic analytic Dedekind sums
• On generalized Dedekind sums involving quasi-periodic Euler functions
• On the mean values of Dedekind sums
• A hybrid mean value formula involving Kloosterman sums and Hurwitz zeta-function
• On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions
• An exact formula for an average of L-series
• Relations between theta-functions, Hardy sums, Eisenstein and Lambert series in the transformation formula of log \(\eta_{g,h}(z)\).
• Some arithmetic on the Hardy sums \(s_2(h,k)\) and \(s_3(h,k)\)
• Mean values of Dedekind sums
• On the mean value of the Dedekind sum with the weight of Hurwitz zeta-function
• On some identities involving certain Hardy sums and a Kloosterman sum
• On the identity involving certain Hardy sums and Kloosterman sums
• ON THE MEAN VALUES OF DEDEKIND SUMS AND HARDY SUMS
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• On the hybrid mean value of Dedekind sums and Hurwitz zeta-function

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