Results 11 to 20 of about 134,188,628 (239)
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
doaj +6 more sources
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
doaj +3 more sources
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
doaj +4 more sources
Open 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
doaj +4 more sources
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 and Dedekind sums, and give two asymptotic formulas for it. This work is a generalization for existing
Yu, Jinmin, Han, Xue, Wang, Tingting
core +4 more sources
On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums
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
doaj +2 more sources
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
doaj +2 more sources
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 asymptotic behavior for general odd primes.
Wencong Liu
openaire +2 more sources
On the generalized exponential sums and their fourth power mean
Open MathematicsThe main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a
Liu Wencong, Ning Shushu
doaj +2 more sources
The character sum of polynomials with k variables and two-term exponential sums [PDF]
Notes on Number Theory and Discrete Mathematics, 2021 The main purpose of this paper is using the properties of the classical Gauss sums and the analytic methods to study the computational problem of one kind of hybrid power mean involving the character sums of polynomials with k variables and the two-term exponential sums, and give an identity and asymptotic formula for it.
Xiaoling Xu, Jiafan Zhang, Wenpeng Zhang
openaire +1 more source