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The Fourth Power Mean of Dirichlet's L-Functions
Analysis, 1981D. R. Heath-Brown
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A fourth power discrepancy mean
Monatshefte für Mathematik, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Fourth Power Mean of the Character Sums Over Short Intervals
Acta Mathematica Sinica, English Series, 2006Let \(q \geq 5\) be an odd integer. The authors obtain an asymptotic formula for the mean value \(\sum^{**} | \sum_{1\leq a < q/8} \chi(a)| ^4\), where \(\sum^{**}\) denotes the summation over all primitive Dirichlet characters \(\chi\) modulo \(q\) with the property that \(\chi(-1)=-1\).
Zhang, Wenpeng, Wang, Xiaoying
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ON THE GENERAL k-TH KLOOSTERMAN SUMS AND ITS FOURTH POWER MEAN
Chinese Annals of Mathematics, 2004Let \(k\geq 1\) and let \(\chi\) be a character modulo \(q\). Define \[ S(m,n,k;\chi,q)= \sum^q_{a=1} \chi(a)\exp\Biggl({2\pi i\over q}(ma^k+ n\overline a^k)\Biggr), \] where \(a\overline a\equiv 1\pmod q\). In the case \(k=1\), \(\chi= \chi_0\), that is for the classical Kloosterman sum, \textit{H.
Liu, Hongyan, Zhang, Wenpeng
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Fourth Power Mean Value of Dirichlet’s L-Functions
1991Let q≥ 2 be an integer. In this paper we shall consider the fourth power mean value of Dirichlet’s L-functions of the following type: Open image in new ...
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On the hyper-Kloosterman sum and its fourth power mean
Studia Scientiarum Mathematicarum Hungarica, 2009The main purpose of this paper is to study the calculating problem of the fourth power mean of the hyper-Kloosterman sums, and give an exact calculating formula for them.
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Fourth power mean of the general 4-dimensional Kloosterman sum mod p
Research in Number Theory, 2020In this article, we prove an asymptotic formula for the fourth power mean of a general 4-dimensional Kloosterman sum. We use a result of P. Deligne, which counts the number of $$\mathbb {F}_p$$ -points on the surface $$\begin{aligned} (x-1)(y-1)(z-1)(1-xyz)-uxyz=0, ~ u\ne 0, \end{aligned}$$ and then take an average of the error terms over u to ...
Nilanjan Bag, Rupam Barman
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Cervical cancer prevention and control in women living with human immunodeficiency virus
Ca-A Cancer Journal for Clinicians, 2021Philip E Castle, Vikrant V Sahasrabuddhe
exaly
An improved estimate of the fourth power mean of the general $3$-dimensional Kloosterman sum mod $p$
, 2020Nilanjan Bag, Rupam Barman
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