Перегляд Відділення математики 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 ...

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