Results 21 to 30 of about 137,956 (119)
The hybrid mean value of Dedekind sums and two-term exponential sums
Open Mathematics, 2016 In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and ...
Leran Chang, Xiaoxue Li
doaj +3 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 +2 more sources
The Hybrid Power Mean of Sixth Gauss Sums and the Two-Term Exponential Sums
Journal of Applied MathematicsThe 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
doaj +2 more sources
A new fourth power mean of two-term exponential sums
Open Mathematics, 2019 The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
doaj +2 more sources
On the sixth power mean of the two-term exponential sums
Journal of Number Theory, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wenpeng, Han, Di
openaire +4 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.
Xu, Zhefeng +2 more
openaire +3 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
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
openaire +1 more source
One Kind New Hybrid Power Mean and Its Computational Formulae
Journal of Mathematics, 2022 The main purpose of this study is to use the elementary and analytic methods and the properties of the classical Gauss sums to study the calculation problems of one kind of hybrid power mean involving the quadratic character sums and the two-term ...
Li Wang, Xuexia Wang
doaj +1 more source
On moments of twisted $L$-functions [PDF]
, 2016 We study the average of the product of the central values of two $L$-functions of modular forms $f$ and $g$ twisted by Dirichlet characters to a large prime modulus $q$.
Blomer, Valentin +4 more
core +1 more source