On the General Dedekind Sums and Two-Term Exponential Sums [PDF]
The Scientific World Journal, 2014 We use the analytic methods and the properties of Gauss sums to study the computational problem of one kind hybrid mean value involving the general Dedekind sums and the two-term exponential sums, and give an interesting computational formula for it.
Junli Zhang, Wenpeng Zhang
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A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums [PDF]
Journal of Applied Mathematics, 2014 The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study the hybrid mean value problem involving the two-term exponential sums and two-term character sums and give an interesting asymptotic formula
Liu Miaohua, Li Xiaoxue
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On the Fourth Power Mean of the Two-Term Exponential Sums [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.
Han Zhang, Wenpeng Zhang
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The hybrid power mean of the quartic Gauss sums and the two-term exponential sums [PDF]
Advances in Difference Equations, 2018 In this paper, we use the analytic method and the properties of classical Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear ...
Xiaoxue Li
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A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums [PDF]
Journal of Mathematics, 2021 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 hybrid power mean involving the quartic Gauss sums and two-term exponential sums and give an ...
Lan Qi, Xingxing Lv
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On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums [PDF]
Journal of Mathematics, 2021 The main purpose of this article is using the elementary methods and the properties of the quadratic residue modulo an odd prime p to study the calculating problem of the fourth power mean of one kind two-term exponential sums and give an interesting ...
Jingzhe Wang
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A note on two-term exponential sum and the reciprocal of the quartic Gauss sums [PDF]
Advances in Difference 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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Two Kinds Hybrid Power Mean Involving Two-Term Exponential Sums and Dedekind Sums [PDF]
, 2023 The main purpose of this article is using the analytic mathods and the quadratic residual transformation technique, and properties of Dedekind sums to study the calculating problem of two kinds hybrid power mean involving the two-term exponential sums ...
Wang, Tingting, Han, Xue, Yu, Jinmin
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The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums
MathematicsIn this paper, we consider the fourth hybrid power mean involving two-term exponential sums and third-order character sum modulo p, a topic of significant importance in analytic number theory.
Guohui Chen, Tingting Du
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ON THE FOURTH POWER MEAN OF TWO-TERM EXPONENTIAL SUMS
JP Journal of Algebra, Number Theory and ApplicationsUsing elementary methods and character sum estimates, we study the fourth power mean of two-term exponential sums with exponent seven, and obtain a sharp asymptotic formula, extending existing results for exponent 5 to exponent 7 clarifying the ...
Wencong Liu
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