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Generalized Twisted Kloosterman Sum Over ℤ[i]

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Ukrainian Mathematical Journal Aims and scope

The twisted Kloosterman sums over Z were studied by V. Bykovsky, A.Vinogradov, N. Kuznetsov, R. W. Bruggeman, R. J. Miatello, I. Pacharoni, A. Knightly, and C. Li. In our paper, we obtain similar estimates for K χ (α, β; γ; q) over ℤ[i] and improve the estimates obtained for the sums of this kind with Dirichlet character χ (mod q 1), where q 1 | q.

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Authors and Affiliations

  1. Odessa National University, Odessa, Ukraine

    S. Varbanets

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  1. S. Varbanets
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 5, pp. 609–618, May, 2014.

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Varbanets, S. Generalized Twisted Kloosterman Sum Over ℤ[i]. Ukr Math J 66, 678–689 (2014). https://doi.org/10.1007/s11253-014-0964-1

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  • DOI: https://doi.org/10.1007/s11253-014-0964-1

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