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Moments of Generalized Quadratic Gauss Sums Weighted by L-Functions

Journal of Number Theory, 2002
The main purpose of this paper is using estimates for character sums and analytic methods to study the second, fourth, and sixth order moments of generalized quadratic Gauss sums weighted by L-functions.
Zhang Wenpeng
exaly   +2 more sources

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On the gauss trigonometric sum

Mathematical Notes, 2000
The author studies Gaussian sums of the form \(S(p,a,k)=\sum_{x=0}^{p-1}e^{2\pi iax^k/p}\), where \(a,k\) are positive integers, \(k\geq3, m=[(k-1)/2], a\not\equiv0\pmod p,\;p\equiv1\pmod k\). For \(p\equiv7\pmod{12}\) he proves a lower estimate of the form \(|S(p,a,6)|>(\sqrt3/2)\sqrt7\).
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The Gauss sums and Jacobi sums over Galois ring GR(p 2, r)

Science China Mathematics, 2013
Shixin Zhu, Keqin Feng, Zhu Shixin
exaly  

Gauss Sums, Jacobi Sums, and Relative Gauss Sums

2020
Jennifer Seberry, Mieko Yamada
exaly  

Gauss Sums

2007
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Gauss sums

2018
openaire   +1 more source

Values of Dirichlet L-functions, Gauss sums and trigonometric sums

Ramanujan Journal, 2011
Emre Alkan, Alkan Emre
exaly  

Gauss’ Sum

1980
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RAMANUJAN'S INTEGRALS AND GAUSS'S SUMS

The Quarterly Journal of Mathematics, 1936
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HYBRID MEAN VALUE OF GENERALIZED BERNOULLI NUMBERS, GENERAL KLOOSTERMAN SUMS AND GAUSS SUMS

Journal of the Korean Mathematical Society, 2007
Huaning Liu, Wenpeng Zhang
exaly