Results 11 to 20 of about 20,647 (117)
On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums
Mathematics, 2019 The main aim of this paper is to use the properties of the trigonometric sums and character sums, and the number of the solutions of several symmetry congruence equations to research the computational problem of a certain sixth power mean of the ...
Xinyu Liu, Wenpeng Zhang
semanticscholar +3 more sources
On Classical Gauss Sums and Some of Their Properties
Symmetry, 2018 The goal of this paper is to solve the computational problem of one kind rational polynomials of classical Gauss sums, applying the analytic means and the properties of the character sums. Finally, we will calculate a meaningful recursive formula for it.
Li Chen
semanticscholar +3 more sources
On the fourth-order linear recurrence formula related to classical Gauss sums
Open Mathematics, 2017 Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ ...
Zhuoyu Chen, Wenpeng Zhang
semanticscholar +3 more sources
A Note on the Classical Gauss Sums
Mathematics, 2018 The main purpose of this paper is to study the computational problem of one kind rational polynomials of the classical Gauss sums, and using the purely algebraic methods and the properties of the character sums mod p ( a prime with p ≡ 1 mod 12 ) to give
Tingting Wang, Guohui Chen
semanticscholar +3 more sources
ON THE GENERAL QUADRATIC GAUSS SUMS WEIGHTED BY CHARACTER SUMS OVER A SHORT INTERVAL
Bulletin of the Korean Mathematical Society, 2013 Tianping Zhang
semanticscholar +3 more sources
Mutually unbiased phase states, phase uncertainties, and Gauss sums [PDF]
, 2005 Mutually unbiased bases (MUBs), which are such that the inner product between two vectors in different orthogonal bases is a constant equal to 1/sqrt{d), with d the dimension of the finite Hilbert space, are becoming more and more studied for ...
Planat, M., Rosu, H. C.
core +2 more sources
Powers of Gauss sums in quadratic fields [PDF]
Journal of Number Theory, 2020 In the past two decades, many researchers have studied {\it index $2$} Gauss sums, where the group generated by the characteristic $p$ of the underling finite field is of index $2$ in the unit group of ${\mathbb Z}/m{\mathbb Z}$ for the order $m$ of the ...
K. Momihara
semanticscholar +1 more source
On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums
Journal of mathematics, 2021 The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to ...
Xiaoling Xu
semanticscholar +1 more source
On the high-th mean of one special character sums modulo a prime
AIMS Mathematics, 2023 Using the elementary method of the classical Gauss sums and the properties of character sums, we study a linear recurrence formula about the form $ G\left(n\right) = 1+\sum_{a = 1}^{p-1}\left(\frac{a^2+n\bar{a}^2}{p}\right) $ and about the mean value of $
Yangguang Ma, Di Han
semanticscholar +1 more source
Improved bounds on Gauss sums in arbitrary finite fields [PDF]
International Journal of Number Theory, 2017 Let [Formula: see text] be a power of a prime and let [Formula: see text] be the finite field consisting of [Formula: see text] elements. We establish new explicit estimates on Gauss sums of the form [Formula: see text], where [Formula: see text] is a ...
A. Mohammadi
semanticscholar +1 more source