Results 21 to 30 of about 138,881 (237)
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 +2 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 +2 more sources
On two-term exponential sums and their mean values
Electronic Research Archive, 2023 The mean value problems of exponential sums play a very important role in the research of analytic number theory, and many famous number theory problems are closely related to them.
Jianghua Li , Zepeng Zhang, Tianyu Pan
doaj +2 more sources
Retracted Article: On the fourth power mean of the two-term exponential sums [PDF]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
semanticscholar +4 more sources
Hybrid mean value involving some two-term exponential sums and fourth Gauss sums
Electronic Research ArchiveLet $ q\ge3 $ be a positive integer. For any integers $ m $, $ n $, $ k $, $ h $, the two-term exponential sums $ C(m, n, k, h; q) $ is defined as $ C(m, n, k, h;q) = \sum\limits_{a = 1}^{q}e\left(\frac{ma^k+na^h}{q}\right) $, where $ k > h\ge 2 $.
Zhefeng Xu, Xiaoying Liu, Luyao Chen
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 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 +2 more sources
The fourth power mean of the generalized two-term exponential sums and its upper and lower bound estimates [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xiaoxue, Xu, Zhefeng
openaire +3 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.
Tingting Wang
openaire +2 more sources
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