2017
Том 69
№ 6

All Issues

Generalized Twisted Kloosterman Sum Over [i]

Varbanets S. P.

Full text (.pdf)


Abstract

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 [i] and improve the estimates obtained for the sums of this kind with Dirichlet character χ (mod q 1), where q 1 | q.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 5, pp 678-689.

Citation Example: Varbanets S. P. Generalized Twisted Kloosterman Sum Over [i] // Ukr. Mat. Zh. - 2014. - 66, № 5. - pp. 609–618.

Full text