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On the Mean Value of the Generalized Dedekind Sum and Certain Generalized Hardy Sums Weighted by the Kloosterman Sum

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Ukrainian Mathematical Journal Aims and scope

We study a hybrid mean-value problem related to the generalized Dedekind sum, certain generalized Hardy sums, and Kloosterman sum and obtain several meaningful conclusions with the help of the analytic method and the properties of the sum of characters and the Gauss sum.

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Authors and Affiliations

  1. Department of Mathematics, Akdeniz University, Antalya, Turkey

    Muhammet Cihat Dağlı & Hamit Sever

Authors
  1. Muhammet Cihat Dağlı
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  2. Hamit Sever
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Correspondence to Muhammet Cihat Dağlı.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 6, pp. 777–783, June, 2023. Ukrainian DOI: https://doi.org/10.37863/umzh.v75i6.7112.

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Dağlı, M.C., Sever, H. On the Mean Value of the Generalized Dedekind Sum and Certain Generalized Hardy Sums Weighted by the Kloosterman Sum. Ukr Math J 75, 889–896 (2023). https://doi.org/10.1007/s11253-023-02234-2

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  • DOI: https://doi.org/10.1007/s11253-023-02234-2

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