Перегляд за автором "Varbanets, S."

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  • Generalized twisted Kloosterman sum over ℤ[i] 
    Varbanets, S. (Український математичний журнал, 2014)
    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; ...
  • Norm Kloosterman sums over Z[i] 
    Savastru, O.; Varbanets, S. (Algebra and Discrete Mathematics, 2011)
    n-dimensional norm Kloosterman sums over the ring of the Gaussian numbers investigate. Nontrivial estimates of these sums were obtained.
  • Norm of Gaussian integers in arithmetical progressions and narrow sectors 
    Varbanets, S.; Vorobyov, Y. (Algebra and Discrete Mathematics, 2020)
    We proved the equidistribution of the Gaussian integer numbers in narrow sectors of the circle of radius x¹/² , x → ∞, with the norms belonging to arithmetic progression N(α) ≡ ℓ (mod q) with the common difference of an ...