On some identities involving certain Hardy sums and Kloosterman sum

M. C. Dağlı

doi:10.37863/umzh.v72i11.731

M. C. Dağlı Akdeniz Univ., Turkey

DOI: https://doi.org/10.37863/umzh.v72i11.731

Keywords: Dedekind sum, Hardy sum, Computational problem, Kloosterman sum, Gauss sum, Hybrid mean value

Abstract

UDC 511

We give a new reciprocity theorem for the Hardy sum $s_{5}(h,p).$ Also, a hybrid mean value problem involving the Hardy sum $s_{4}(h,p)$ and Kloosterman sum is studied and two exact computational formulae are obtained.

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