Results 11 to 20 of about 137,956 (119)

On the General Dedekind Sums and Two-Term Exponential Sums [PDF]

open access: yesThe 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
doaj   +5 more sources

On the Fourth Power Mean of the Two-Term Exponential Sums [PDF]

open access: yesThe 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
doaj   +5 more sources

On the two-term exponential sums and character sums of polynomials [PDF]

open access: yesOpen 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
doaj   +4 more sources

On the recursive properties of one kind hybrid power mean involving two-term exponential sums and Gauss sums

open access: yesOpen Mathematics, 2018
The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shen Shimeng
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On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums [PDF]

open access: yesJournal of Mathematics, 2021
In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the ...
Shaofan Cao, Tingting Wang
doaj   +3 more sources

A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums [PDF]

open access: yesJournal 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
doaj   +4 more sources

A note on two-term exponential sum and the reciprocal of the quartic Gauss sums [PDF]

open access: yesAdvances 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
doaj   +3 more sources

One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums

open access: yesJournal of Mathematics, 2021
The main purpose of this article is using the analytic methods and the properties of the classical Gauss sums to study the calculating problem of the hybrid power mean of the two-term exponential sums and quartic Gauss sums and then prove two interesting
Xiaoxue Li, Li Chen
doaj   +3 more sources

A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums [PDF]

open access: yesJournal 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
doaj   +3 more sources

The hybrid power mean of the quartic Gauss sums and the two-term exponential sums [PDF]

open access: yesAdvances 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
doaj   +2 more sources

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