Results 21 to 30 of about 167,996 (242)

One kind two-term exponential sums weighted by third-order character

AIMS Mathematics
We give a correction to the previous paper of S. F. Cao and T. T. Wang (2021). Additionally, provide a conversion formula of the power mean of a certain exponential sums weighted by a Dirichlet character $ \chi_{3} $ and some of its applications.
Guohui Chen, Wenpeng Zhang
doaj   +3 more sources

On the sixth power mean of one kind two-term exponential sums weighted by Legendre's symbol modulo p

AIMS Mathematics, 2021
The main purpose of this article is using the elementary methods and the properties of the character sums of the polynomials to study the calculating problem of one kind sixth power mean of the two-term exponential sums weighted by Legendre's symbol ...
Wenpeng Zhang, Yuanyuan Meng
doaj   +3 more sources

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

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
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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   +2 more sources

The sixth power mean of one kind generalized two-term exponential sums and their asymptotic properties

Electronic Research Archive, 2023
The main aim of this article is using the elementary method and the number of the solutions of some congruence equations modulo an odd prime $ p $, to study the calculating problem of the sixth power mean of one kind generalized two-term exponential sums,
Jin Zhang, Xiaoxue Li
doaj   +2 more sources

New identities involving certain Hardy sums and two-term exponential sums

Indian Journal of Pure and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. C. Dağlı
openaire   +3 more sources

On the eighth power mean of the two-term exponential sums

Finite Fields and Their Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tingting Wang, Wenpeng Zhang
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A certain two-term exponential sum and its fourth power means

AIMS Mathematics, 2020
The main purpose of this article is using the properties of the Legendre’s symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula ...
Zhang Jin, Zhang Wenpeng
doaj   +2 more sources

A hybrid mean value involving two-term exponential sums and polynomial character sums [PDF]

Czechoslovak Mathematical Journal, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han Di
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Retracted Article: On the fourth power mean of the two-term exponential sums [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Minhui, Han, Di
openaire   +3 more sources