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Generalized Kloosterman sum with primes
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M. Korolev
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Newton polygons of L-functions for two-variable generalized kloosterman sums
In this paper, we study the Newton polygon of the [Formula: see text]-function of a generalized Kloosterman polynomial with two variables over finite fields. We give the explicit form of the monomial basis of the top dimensional cohomology space of the [Formula: see text]-adic complex associated to the [Formula: see text]-function.
Chunlin Wang, Liping Yang
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Bounds on bilinear sums of generalized Kloosterman sums over arbitrary sets
Sen Xu, Tianping Zhang
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Fourth power mean values of generalized Kloosterman sums
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Li Wang, Nilanjan Bag
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On some hybrid power moments of products of generalized quadratic Gauss sums and Kloosterman sums*
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Goran Djanković +3 more
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Xingxing Lv, Wenpeng Zhang
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Generalized Twisted Kloosterman Sum Over ℤ[i] [PDF]
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 ...
Sergey Varbanets
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Some remarks on induced multiplier systems, generalized Kloosterman sums and theta multipliers
R. Matthes
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The Hybrid Power Mean of Sixth Gauss Sums and Generalized Kloosterman Sums
Lin Xin
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Identities of general Kloosterman sums
International Journal of Number Theory, 2023Let [Formula: see text] be any integers with [Formula: see text], and [Formula: see text] be a Dirichlet character modulo [Formula: see text]. The general Kloosterman sums [Formula: see text] are defined as follows: [Formula: see text] where [Formula: see text], and [Formula: see text] denotes the multiplicative inverse of [Formula: see text] modulo ...
Xiaoge Liu, Tianping Zhang
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