Results 1 to 10 of about 20,647 (117)
One kind hybrid character sums and their upper bound estimates. [PDF]
J Inequal Appl, 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
Zhao J, Wang X.
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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 some conjectures on generalized quadratic Gauss sums and related problems [PDF]
Finite Fields Their Appl., 2021 The main purpose of this article is to study higher power mean values of generalized quadratic Gauss sums using estimates for character sums, analytic method and algebraic geometric methods.
Nilanjan Bag +2 more
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Higher order moments of generalized quadratic Gauss sums weighted by $L$-functions [PDF]
Asian Journal of Mathematics, 2021 . The main purpose of this paper is to study higher order moments of the generalized quadratic Gauss sums weighted by L-functions using estimates for character sums and analytic methods.
Nilanjan Bag, Rupam Barman
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The Gauss sums involving 24-order character and their recursive properties
AIMS Mathematics, 2022 The main purpose of this paper is to use elementary and analytic methods to study the calculating problem of one kind of Gauss sums and obtain an exact computational formula for it.
Juanli Su, Jiafan Zhang
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On the classical Gauss sums and their some new identities
AIMS Mathematics, 2022 In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the calculating problems of some Gauss sums involving the character of order $ 12 $ modulo an odd prime $ p $, and obtain several new and interesting ...
Wenpeng Zhang, Xiaodan Yuan
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The mean value of the generalized Dirichlet L-functions with the weight of the Gauss sums
International Journal of Number Theory, 2021 Let [Formula: see text] be an integer, and let [Formula: see text] denote a Dirichlet character modulo [Formula: see text]. For any real number [Formula: see text], we define the generalized Dirichlet [Formula: see text]-function as [Formula: see text ...
Yana Niu +3 more
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Some identities involving Gauss sums
AIMS Mathematics, 2021 We calculate several identities involving some Gauss sums of the $ 2^k $-order character modulo an odd prime $ p $ by using the elementary and analytic methods, and finally give several exact and interesting formulae for them.
Xi Liu
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A note on two-term exponential sum and the reciprocal of the quartic Gauss sums
Advances in Differential Equations, 2021 The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
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On the generalized quadratic Gauss sums and its upper bound estimate
Journal of Mathematical Inequalities, 2021 . The main purpose of this paper is to study generalized quadratic Gauss sums, then use the analytic methods, the properties of the classical Gauss sums and character sums to give a sharp upper bound estimate for it.
Jia an Zhang, Xingx ng Lv
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