TY - JOUR AU - S. P. Varbanets PY - 2014/05/25 Y2 - 2024/03/29 TI - Generalized Twisted Kloosterman Sum Over <em class="a-plus-plus">ℤ</em>[<em class="a-plus-plus">i</em>] JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 66 IS - 5 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2163 AB - 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. ER -