Results 191 to 200 of about 20,782 (211)

New Product Formulas for Classical Gauss Sums

Acta Mathematica Sinica, English Series
Wenpeng Zhang
exaly   +2 more sources

Converse theorem of Gauss sums

, 2021
In this paper, we investigate an inverse problem on the Gauss sums of characters of finite fields. Namely, given a nontrivial additive character ψ, for two multiplicative characters χ 1 and χ 2 of F q n × , if the Gauss sums G ( χ 1 ⋅ η , ψ ) = G ( χ 2 ⋅
Chufeng Nien, Lei Zhang
semanticscholar   +1 more source

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
exaly   +2 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
exaly   +2 more sources

THE HYBRID POWER MOMENT OF CHARACTER SUMS AND TWO-TERM EXPONENTIAL SUMS

JP Journal of Algebra Number Theory and Applications
This paper focuses on the investigation of the hybrid power mean concerning some special character sums of polynomials and the two-term exponential sums by utilizing analytical approaches and the nature of Gauss sums to give two sharp asymptotic formulae
Xuan Wang
semanticscholar   +1 more source

On Cubic Exponential Sums and Gauss Sums

Journal of Mathematical Sciences, 2018
N. Proskurin
semanticscholar   +2 more sources

Hybrid mean value of the character sums over the short interval [1,p8)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$

Indian journal of pure and applied mathematics, 2023
Rongzhe Ma, Haodong Wang, Yulong Zhang
semanticscholar   +1 more source

On the hybrid mean value of two-term exponential sums and character sums of polynomials

Lithuanian Mathematical Journal
Zhangrui Sun, Di Han
semanticscholar   +1 more source

Hybrid mean value of the character sums over the short interval $$[1,\frac{p}{8})$$ and the other famous sums

Indian Journal of Pure and Applied Mathematics, 2023
Rong Ma
exaly  

An explicit evaluation of $10^{\text{th}}$-power moment of quadratic Gauss sums and some applications

Functiones Et Approximatio, Commentarii Mathematici, 2022
Nilanjan Bag, Antonio Rojas-Leon, Zhang Wenpeng   +2 more
exaly