Results 21 to 30 of about 2,339,875 (281)

On the fourth power mean of the general k th Kloosterman sums [PDF]

Advances in Difference Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Xiaoyan, Geng, Guohua, Pan, Xiaowei
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The fourth power mean of the generalized quadratic Gauss sums associated with some Dirichlet characters

AIMS Mathematics
In this paper, the fourth power mean values of the generalized quadratic Gauss sums associated with the $ 3 $-order and $ 4 $-order Dirichlet characters are given by using the properties of the Dirichlet characters and Gauss sums.
Xuan Wang, Li Wang , Guohui Chen
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A Conversion Formula for One Kind Fourth Power Mean of Kloosterman Sums and the Character Sums Module p

Journal of Mathematics
The primary contribution of this paper is to research one kind special Kloosterman sums using analytic method. We translate one kind fourth power mean of the Kloosterman sums into the character sums of one kind polynomials. It is possible to construct an
Shushu Ning, Xuexia Wang
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A certain two-term exponential sum and its fourth power means

AIMS Mathematics, 2020
The main purpose of this article is using the properties of the Legendre’s symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula ...
Zhang Jin, Zhang Wenpeng
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On the fourth power mean of the general Kloosterman sums

Journal of Number Theory, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenpeng Zhang
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Retracted Article: On the fourth power mean of the two-term exponential sums [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Minhui, Han, Di
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A note on the fourth power mean of the generalized Kloosterman sums

Journal of Number Theory, 2017
Let \(p\) be an odd prime, and let \(\alpha\geq 2\) be an integer. Let \(\chi\) be any non-primitive character modulo \(p^{\alpha}\) satisfying \(\chi\neq \chi_0\), the principal character. Let \(n\) be an integer with \((n, p)=1\). This paper proves that \[ \mathop{\sum_{m=1}^{p^{\alpha}}}_{(m,p)=1}\left|\sum_{a=1}^{p^{\alpha}}\chi(a)e\left(\frac{ma+n\
Zhang, Wenpeng, Shen, Shimeng
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ON THE FOURTH POWER MEAN OF GENERALIZED TWO-TERM EXPONENTIAL SUMS [PDF]

Bulletin of the Korean Mathematical Society, 2013
In this paper, we use the elementary method and the theory of complex functions to study the computational problem of the fourth power mean of the generalized two-term exponential sums, and give two exact identities for them.
Tingting Wang
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On the fourth power mean of the analogous general Kloosterman sum

Journal of Number Theory, 2016
The authors study generalized Kloosterman sums \[ C(m,n,k,\chi;q)= \sum_{a=1}^{q}\chi(a)e\left(\frac{m\bar a^k+na}{q }\right), \] where \(q\), \(m\), \(n\), \(k\) are given positive integers, \(q \geq 3\), \(e(x)=e^{2\pi i x}\), \(a\bar a\equiv 1\pmod{q}\) and \(\chi\) is a character \(\mod{q}\).
Chen, Hui, Zhang, Tianping
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A fixed normalized LMF (XE-NLMF) algorithm for single stage grid interfaced solar PVSystem [PDF]

Scientific Reports
This manuscript presents the analysis and design of a fixed normalized least mean fourth (XE-NLMF) based algorithm for a single-stage, three-phase grid-integrated solar photovoltaic (SPV) system.
Subhranshu Sekhar Puhan, Renu Sharma
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