Results 1 to 10 of about 11,947 (164)
One kind hybrid character sums and their upper bound estimates [PDF]
Journal of Inequalities and Applications, 2018 The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain several sharp upper bound estimates for them. As
Jianhong Zhao, Xiao Wang
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The Mean Values of Character Sums and Their Applications
Mathematics, 2021 In this paper, we use the elementary methods and properties of classical Gauss sums to study the calculation problems of some mean values of character sums of special polynomials, and obtained several interesting calculation formulae for them.
Jiafan Zhang, Yuanyuan Meng
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On the two-term exponential sums and character sums of polynomials
Open Mathematics, 2019 The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Ma Yuankui, Zhang Wenpeng
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On a Kind of Dirichlet Character Sums [PDF]
Abstract and Applied Analysis, 2013 Let p≥3 be a prime and let χ denote the Dirichlet character modulo p.
Rong Ma, Yulong Zhang, Guohe Zhang
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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
Shushu Ning, Xuexia Wang
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Estimates for Character Sums [PDF]
Proceedings of the American Mathematical Society, 1993 We give a number of estimates for character sums \[ ∑
Friedlander, J., Iwaniec, H.
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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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A Problem Concerning a Character Sum [PDF]
Experimental Mathematics, 1999 Let p be a prime congruent to −1 modulo 4, (n/p) the Legendre symbol and \(S(k) = \Sigma _{n = 1}^{p - 1} {\text{ }}n^k \left( {\tfrac{n}{p}} \right)\). The problem of finding a prime p such that S(3) > 0 was one of the motivating forces behind the development of several of Shanks' ideas for computing in algebraic number fields, although neither he nor
Teske, Edlyn, Williams, Hugh C.
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On the evaluation of Brewer’s character sums [PDF]
Transactions of the American Mathematical Society, 1972 A decade ago in this journal B. W. Brewer defined a sequence of polynomials V n
Giudici, Reinaldo E. +2 more
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One Kind New Hybrid Power Mean and Its Computational Formulae
Journal of Mathematics, 2022 The main purpose of this study is to use the elementary and analytic methods and the properties of the classical Gauss sums to study the calculation problems of one kind of hybrid power mean involving the quadratic character sums and the two-term ...
Li Wang, Xuexia Wang
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