Results 221 to 230 of about 297,434 (242)

On the fourth-power mean of the general cubic Gauss sums*

Lithuanian Mathematical Journal, 2016
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Wenpeng Zhang, Zhang Wenpeng
exaly   +3 more sources

On the fourth power mean of the generalized quadratic Gauss sums

Acta Mathematica Sinica, English Series, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Peng Zhang, Xin Lin, Zhang Wen Peng
exaly   +2 more sources

On the Fourth Power Mean of the Character Sums Over Short Intervals

Acta Mathematica Sinica, English Series, 2006
Let \(q \geq 5\) 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 \(\chi(-1)=-1\).
Wen Peng Zhang, Zhang Wen Peng
exaly   +3 more sources

ON THE GENERAL k-TH KLOOSTERMAN SUMS AND ITS FOURTH POWER MEAN

Chinese Annals of Mathematics Series B, 2004
Let \(k\geq 1\) 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.
Hongyan Liu, Wenpeng Zhang
exaly   +3 more sources

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