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On Some Identities Involving Certain Hardy Sums and a Kloosterman Sum

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Ukrainian Mathematical Journal Aims and scope

We propose a new reciprocity theorem for the Hardy sum s5(h, p). In addition, a hybrid mean-value problem involving the Hardy sum s4(h, p) and a Kloosterman sum is studied and two exact computational formulas are obtained.

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Authors and Affiliations

  1. Akdeniz University, Antalya, Turkey

    M. C. Dağli

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  1. M. C. Dağli
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Correspondence to M. C. Dağli.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 11, pp. 1495–1501, November, 2020. Ukrainian DOI: 10.37863/umzh.v72i11.731.

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Dağli, M.C. On Some Identities Involving Certain Hardy Sums and a Kloosterman Sum. Ukr Math J 72, 1724–1732 (2021). https://doi.org/10.1007/s11253-021-01883-5

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  • DOI: https://doi.org/10.1007/s11253-021-01883-5

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