Results 71 to 80 of about 40,414 (172)
On the two-term exponential sums and character sums of polynomials
Open Mathematics, 2019 The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Ma Yuankui, Zhang Wenpeng
doaj +1 more source
On the Sixth Residues and Some New Properties of Their Distribution
Journal of Mathematics, 2021 In this paper, we use the analytic methods, the properties of the sixth-order characters, and the classical Gauss sums to study the computational problems of a certain special sixth residues’ modulo p and give two exact calculating formulas for them.
Juanli Su, Jin Zhang
doaj +1 more source
Products related to Gauss sums.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1974 Let \(m\geq 2\) be an integer, let \(p\) be a prime with \(p\equiv 1\pmod m\) and let \(\rho\) be a primitive \(m\)-th root of unity. Then \(p\) splits completely in the cyclotomic field \(\mathbb Q(\rho)\) and, if we pick \(\mathfrak p\) to be one of the prime divisors of \(p\) in \(\mathbb Q(\rho)\) we define a character \(\chi\) of order \(m\) on \(\
openaire +1 more source
New Mixed Exponential Sums and Their Application
Journal of Applied Mathematics, 2014 The main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting ...
Yu Zhan, Xiaoxue Li
doaj +1 more source
Some New Identities Related to Dedekind Sums Modulo a Prime
Journal of MathematicsThe main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give
Jiayuan Hu
doaj +1 more source
Proceedings of the American Mathematical Society, 2005 A recent bound for exponential sums by Friedlander, Hansen and Shparlinski is extended to twisted exponential sums with general polynomial arguments. As a by-product a new result about perfect powers in certain products of polynomials is established.
Cohen, Stephen D. +4 more
openaire +2 more sources
Cyclotomy of order 15 over GF(p2), p=4, 11(mod15)
International Journal of Mathematics and Mathematical Sciences, 1986 For primes p≡4, 11(mod15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF(p2).
Christian Friesen +3 more
doaj +1 more source
One kind hybrid character sums and their upper bound estimates
Journal of Inequalities and Applications, 2018 The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain several sharp upper bound estimates for them. As
Jianhong Zhao, Xiao Wang
doaj +1 more source
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 +1 more source
A Mean Value Related to Primitive Roots and Golomb’s Conjectures
Abstract and Applied Analysis, 2014 The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study a mean value problem related to the primitive roots mod p and the different forms of Golomb’s conjectures and propose an interesting ...
Weiqiong Wang, Wenpeng Zhang
doaj +1 more source