Results 11 to 20 of about 25,118 (105)

Polyhedral Gauss sums, and polytopes with symmetry

Journal of Computational Geometry, 2016
We define certain natural finite sums of $n$'th roots of unity, called $G_P(n)$, that are associated to each convex integer polytope $P$, and which generalize the classical $1$-dimensional Gauss sum $G(n)$ defined over $\mathbb Z/ {n \mathbb Z}$, to ...
Romanos Diogenes Malikiosis, Sinai Robins, Yichi Zhang   +2 more
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One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums

Journal of Mathematics, 2021
The main purpose of this article is using the analytic methods and the properties of the classical Gauss sums to study the calculating problem of the hybrid power mean of the two-term exponential sums and quartic Gauss sums and then prove two interesting
Xiaoxue Li, Li Chen
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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
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Some new hybrid power mean formulae of trigonometric sums

Advances in Difference Equations, 2020
We apply the analytic method and the properties of the classical Gauss sums to study the computational problem of a certain hybrid power mean of the trigonometric sums and to prove several new mean value formulae for them.
Li Chen, Zhuoyu Chen
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A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums

Journal of Mathematics, 2021
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 hybrid power mean involving the quartic Gauss sums and two-term exponential sums and give an ...
Lan Qi, Xingxing Lv
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The Mean Values of Character Sums and Their Applications

Mathematics, 2021
In this paper, we use the elementary methods and properties of classical Gauss sums to study the calculation problems of some mean values of character sums of special polynomials, and obtained several interesting calculation formulae for them.
Jiafan Zhang, Yuanyuan Meng
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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
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On a Certain Quadratic Character Sums of Ternary Symmetry Polynomials modp

Journal of Mathematics, 2021
In this article, we are using the elementary methods and the properties of the classical Gauss sums to study the calculating problem of a certain quadratic character sums of a ternary symmetry polynomials modulo p and obtain some interesting identities ...
Yuanyuan Meng
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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
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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
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