Results 1 to 10 of about 3,629 (132)
On the Generalization of Lehmer Problem and High-Dimension Kloosterman Sums [PDF]
The Scientific World Journal, 2014 For any fixed integer k≥2 and integer r with r, p=1, it is clear that there exist k integers 1≤ai≤p-1 i=1, 2, …, k such that a1a2⋯ak≡r mod p. Let N(k,r;p) denote the number of all a1, a2, ⋯ak such that a1a2⋯ak≡r mod p and 2†a1+a2+⋯ + ak.
Guohui Chen, Han Zhang
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Cancellations Amongst Kloosterman Sums [PDF]
Acta Arithmetica, 2016 We obtain several estimates for bilinear form with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst with parameters from short intervals.
Shparlinski, I. E., Zhang, T. P.
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On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums
Mathematics, 2019 The main aim of this paper is to use the properties of the trigonometric sums and character sums, and the number of the solutions of several symmetry congruence equations to research the computational problem of a certain sixth power mean of the ...
Wenpeng Zhang
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The hybrid power mean of quartic Gauss sums and Kloosterman sums
Open Mathematics, 2017 The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact ...
Xiaoxue Li, Jiayuan Hu
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Kloosterman sums on orthogonal groups. [PDF]
Ramanujan JAbstract We study Kloosterman sums on the orthogonal groups $$SO_{3,3}$$ S O 3 , 3
Mujdei C.
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Journal of MathematicsThe primary contribution of this paper is to research one kind special Kloosterman sums using analytic method. We translate one kind fourth power mean of the Kloosterman sums into the character sums of one kind polynomials. It is possible to construct an
Xuexia Wang
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A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums
Journal of Mathematics, 2021 In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for ...
Xiaowei Pan, Xiaoyan Guo
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On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums
Journal of Mathematics, 2021 The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to ...
Xiaoling Xu
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On sums of hyper-Kloosterman sums
Forum Mathematicum, 2023 Abstract A formula of Kuznetsov allows one to interpret a smooth sum of Kloosterman sums as a sum over the spectrum of GL (
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On Certain Values of Kloosterman Sums [PDF]
IEEE Transactions on Information Theory, 2009 Let $K_{q^n}(a)$ be a Kloosterman sum over the finite field $\F_{q^n}$ of characteristic $p$. In this note so called subfield conjecture is proved in case $p>3$: if $a\ne0$ belongs to the proper subfield $\F_q$ of $\F_{q^n}$, then $K_{q^n}(a)\ne-1$. This completes recent works on the subfield conjecture by Shparlinski, and Moisio and Lisonek.
Väänänen Keijo +2 more
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