Bull. Korean Math. Soc. 2011; 48(1): 9-15
Printed January 1, 2011
https://doi.org/10.4134/BKMS.2011.48.1.9
Copyright © The Korean Mathematical Society.
Yanfeng He and Wenpeng Zhang
Yan'an University, Northwest University
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
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