Results 11 to 20 of about 5,999 (239)

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

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

Journal 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   +4 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

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
doaj   +3 more sources

On the mean value of the two-term exponential sums with Dirichlet characters

Journal of Number Theory, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhefeng Xu, Tianping Zhang, Wenpeng Zhang   +2 more
exaly   +3 more sources

On the generalized exponential sums and their fourth power mean

Open Mathematics
The 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   +3 more sources

ON MIXED TWO-TERM EXPONENTIAL SUMS [PDF]

Journal of the Korean Mathematical Society, 2010
In this paper, we shall use analytic methods to study the hybrid mean value involving the mixed two-term exponential sums C(m, n, r, chi; q), and give several sharp asymptotic formulae.
Zhang Tianping, Tianping Zhang
exaly   +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
exaly   +2 more sources

The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums

Mathematics
In 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

Two Kinds Hybrid Power Mean Involving Two-Term Exponential Sums and Dedekind Sums

, 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
openaire   +3 more sources