Generalized Twisted Kloosterman Sum Over <em class="a-plus-plus">ℤ</em>[<em class="a-plus-plus">i</em>]

  • S. P. Varbanets

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.
Published
25.05.2014
How to Cite
Varbanets, S. P. “Generalized Twisted Kloosterman Sum Over <em class="a-Plus-plus">ℤ</em>[<em class="a-Plus-plus">i</Em&gt;]”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 5, May 2014, pp. 609–618, http://umj.imath.kiev.ua/index.php/umj/article/view/2163.
Section
Research articles