On some identities involving certain Hardy sums and Kloosterman sum

  • M. C. Dağlı Akdeniz Univ., Turkey
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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Published
13.11.2020
How to Cite
DağlıM. C. “On Some Identities Involving Certain Hardy Sums and Kloosterman Sum”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 11, Nov. 2020, pp. 1495-01, doi:10.37863/umzh.v72i11.731.
Section
Research articles