Results 21 to 30 of about 2,079,266 (281)

A sum analogous to Kloosterman sum and its fourth power mean

AIMS Mathematics, 2020
The main purpose of this paper is using the analytic methods and the properties of the Legendre’s symbol and quadratic residue mod p to study the computational problem of the fourth power mean of a sum analogous to Kloosterman sum, and give a sharp ...
He Yanqin, Zhu Chaoxi, Chen Zhuoyu
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One special kind of Kloosterman sum and its fourth-power mean

Open Mathematics
This article aims to investigate the calculation problem of the fourth-power mean of the specific Kloosterman sums by utilizing analytic methods and the properties of classical Gauss sums.
Zhang Wenpeng, Wang Li, Liu Xiaoge
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Retracted Article: On the fourth power mean of the two-term exponential sums [PDF]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
semanticscholar   +4 more sources

A new fourth power mean of two-term exponential sums

Open Mathematics, 2019
The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
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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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An explicit formula for the fourth power mean of the Riemann zeta-function

Acta Mathematica, 1993
In this important paper the author establishes an explicit formula for \[ I(T,\Delta)= (\Delta\sqrt{\pi})^{-1} \int_{-\infty}^ \infty |\zeta ({\textstyle {1\over 2}}+iT+it)|^ 4 e^{-(t/\Delta)^ 2} dt \qquad ...
Y. Motohashi
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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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The fourth power mean of the generalized two-term exponential sums and its upper and lower bound estimates [PDF]

Journal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xiaoxue, Xu, Zhefeng
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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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