Abstract
We discuss two hybrid mean value problems by using the properties of Dirichlet L-functions. The first one is involving a new sum analogue of Dedekind sum and Hurwitz zeta-function, while the second is about Hardy sum S5(h, p) and general Kloosterman sum \(K( n,r,\lambda;p) \), attached a Dirichlet character \(\lambda\) modulo p. Consequently, we give several exact computational formulas, which generalize some conclusions of this context.
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Dağli, M.C. Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum. Acta Math. Hungar. 168, 373–385 (2022). https://doi.org/10.1007/s10474-022-01277-4
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DOI: https://doi.org/10.1007/s10474-022-01277-4