Results 11 to 20 of about 282,915 (147)
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 general Kloosterman sum and its fourth power mean
Journal of Number Theory, 2004 Let \(q \geq 3\) be a positive integer and let \(\chi\) denote a Dirichlet character mod \(q\). For any integers \(m\) and \(n\), the general Kloosterman sum \(S(m ,n , \chi ; q)\) is defined as follows: \[ S(m,n, \chi ; q) = \mathop{{\sum}^*}_{a=1}^q \chi(a) e\left(\frac {ma+n \overline{a}}{q} \right), \] where \(e(y) = e^{2 \pi i y}\) and \(\sum ...
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The fourth and sixth power mean of the classical Kloosterman sums
Journal of Number Theory, 2011 Let \(S(m,n;q)\) be the classical Kloosterman sums and \(q\geq 3\). The paper obtains: For \((n,q)=1\), then \[ \sum\limits_{m=1}^{q}|S(m,n;q)|^{4}=3^{\omega(q)}q^{2}\varphi(q)\prod\limits_{p\|q}\left(\frac{2}{3}-\frac{1}{3p}-\frac{4}{3p(p-1)}\right), \] where \(\omega(q)\) denotes the number of all different prime divisors of \(q\) and \(\varphi(q ...
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One special kind of Kloosterman sum and its fourth-power mean
Open MathematicsThis 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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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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e-Prime: Advances in Electrical Engineering, Electronics and Energy, 2021 This research uses computational fluid dynamics (CFD) to perform a two-stage optimization of power output in multiple vertical-axis wind turbines (VAWT) with straight blades.
Wei-Hsin Chen +6 more
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Muscular and cardiorespiratory parameters of Brazilian professional futsal players: comparison between top national and regional level athletes [PDF]
Motriz: Revista de Educacao Fisica, 2022 Aim: To compare muscular and cardiorespiratory parameters between Brazilian professional futsal athletes from different competitive levels (national versus regional).
Gabriela B. David +6 more
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The mean fourth power of real character sums [PDF]
Acta Arithmetica, 2002 Summary: Let \(\chi_q\) denotes the real character modulo \(q\) whenever it exists. For \(X\) and \(Y\) large enough, we prove \[ \sum_{|q| \leq X}\biggl| \sum_{n \leq Y} \chi_q(n)\biggr|^4 \ll XY^2 X^\varepsilon \] for any \(\varepsilon>0\) and where the implied constant depends on \(\varepsilon\).
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The fourth power mean of Dirichlet L-functions in $${\mathbb {F}}_q [T]$$ [PDF]
Revista Matemática Complutense, 2020 AbstractWe prove results on moments of L-functions in the function field setting, where the moment averages are taken over primitive characters of modulus R, where R is a polynomial in $${\mathbb {F}}_{q}[T]$$ F q
Julio Cesar Andrade, Michael Yiasemides
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A note on two-term exponential sum and the reciprocal of the quartic Gauss sums
Advances in Difference Equations, 2021 The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
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