Results 11 to 20 of about 6,010 (239)

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   +5 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   +4 more sources

The Hybrid Power Mean of Sixth Gauss Sums and the Two-Term Exponential Sums

Journal of Applied Mathematics
The principal aim of this paper is to analyze the hybrid power mean value of sixth Gauss sums and two-term exponential sums. It will use various analytic methods and elementary methods to develop unique identities for these types of sums.
Xuan Wang
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On the mean value of the two-term exponential sums with Dirichlet characters [PDF]

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 [PDF]

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

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
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 [PDF]

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 [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
openaire   +3 more sources