Results 11 to 20 of about 300,054 (269)

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   +3 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 Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums

Journal of Mathematics, 2021
In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it.
Zhang Jin, Zhang Jiafan
doaj   +2 more sources

Power Quality Enhancement using Integrated Control Technique Quantum Calculus-based Least Mean Fourth and Optimized Fractional Order Proportional-Integral-Derivative

Electrica
This article proposes the effectiveness of a Dynamic Voltage Restorer (DVR) based on Quantum Calculus-based Least Mean Fourth (q-LMF) for compensating the impact of grid voltage perturbation.
Prashant Kumar, Sabha Raj Arya
doaj   +2 more sources

The hybrid power mean of quartic Gauss sums and Kloosterman sums

Open Mathematics, 2017
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 fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact ...
Xiaoxue Li, Jiayuan Hu
doaj   +3 more sources

The fourth power mean of Dirichlet L-functions in $${\mathbb {F}}_q [T]$$ [PDF]

Revista Matemática Complutense, 2020
AbstractWe prove results on moments of L-functions in the function field setting, where the moment averages are taken over primitive characters of modulus R, where R is a polynomial in $${\mathbb {F}}_{q}[T]$$ F q
Julio Cesar Andrade, Michael Yiasemides
openaire   +5 more sources

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

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   +2 more sources

ON THE FOURTH POWER MEAN OF GENERALIZED TWO-TERM EXPONENTIAL SUMS [PDF]

Bulletin of the Korean Mathematical Society, 2013
In this paper, we use the elementary method and the theory of complex functions to study the computational problem of the fourth power mean of the generalized two-term exponential sums, and give two exact identities for them.
exaly   +2 more sources

On the Mean Values of Certain Character Sums [PDF]

Abstract and Applied Analysis, 2013
Let q≥5 be an odd number. In this paper, we study the fourth power mean of certain character sums ∑χmodq,χ-1=-1*∑1≤a≤q/4aχa4 and ∑χmodq,χ-1=1*∑1≤a≤q/4aχa4, where ∑‍* denotes the summation over primitive characters modulo q, and give some asymptotic ...
Zhefeng Xu, Huaning Liu
doaj   +2 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
doaj   +2 more sources