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 On the $2k$-th power mean value of the generalized quadratic Gauss sums Bull. Korean Math. Soc. 2011 Vol. 48, No. 1, 9-15 https://doi.org/10.4134/BKMS.2011.48.1.9Published online January 1, 2011 Yanfeng He and Wenpeng Zhang Yan'an University, Northwest University Abstract : The main purpose of this paper is using the elementary and analytic methods to study the properties of the $2k$-th power mean value of the generalized quadratic Gauss sums, and give two exact mean value formulae for $k=3$ and $4$. Keywords : generalized quadratic Gauss sums, $2k$-th power mean value, calculating formula, identity MSC numbers : Primary 11M20 Downloads: Full-text PDF

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