Results 21 to 30 of about 20,782 (211)
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
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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
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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
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AIMS Mathematics, 2021 We consider the calculation problem of one kind hybrid power mean involving the character sums of polynomials and two-term exponential sums modulo $ p $, an odd prime, and use the analytic method and the properties of classical Gauss sums to give some ...
Wenpeng Zhang, Jiafan Zhang
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On the character sums analogous to high dimensional Kloosterman sums
AIMS 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 character sums analogous to high dimensional Kloosterman sums, and give some interesting ...
Jianghua Li, Xi Zhang
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Polya-Vinogradov inequality for polynomial character sums over finite fields
Journal of Mathematical Inequalities, 2021 . A version of Polya–Vinogradov inequality in function fi elds appeared in [1, 2, 3, 9] recently. In this paper, we show some new bounds for polynomial character sums by making use of polynomial Gauss sums (see [4, 12]) and a formula from L. Carlitz (see [
Zhi Zheng, Ziwei Hong
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Gauss Sums of the Cubic Character over GF(2^m): an elementary derivation [PDF]
, 2010 An elementary approach is shown which derives the value of the Gauss sum of a cubic character over a finite field F2s without using Davenport-Hasse’s theorem (namely, if s is odd the Gauss sum is 1, and ifs is even its value is ( 2) s=2 ).
D. Schipani, M. Elia
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On a Certain Quadratic Character Sums of Ternary Symmetry Polynomials mod p
, 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 and obtain some interesting identities for
Yuanyuan Meng
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The hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums
AIMS MathematicsThis article applied the properties of character sums, quadratic character, and classical Gauss sums to study the calculations of the hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums.
Xue Han, Tingting Wang
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Advanced Functional Materials, EarlyView.ABSTRACT Materials that can deform, sense, and autonomously generate power in response to wireless magnetic fields, through both magnetic‐actuated shape transformation and charge generation, are an emerging focus in advanced functional materials research.
Zhi Zhao, Xiaojia Shelly Zhang
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