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arXiv · 1107.2470

An identity on the $2m$-th power mean value of the generalized Gauss sums

Feng Liu·Quan-Hui Yang
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Abstract

In this paper, using combinatorial and analytic methods, we prove an exact calculating formula on the $2m$-th power mean value of the generalized quadratic Gauss sums for $m\geq 2$. This solves a conjecture of He and Zhang [`On the $2k$-th power mean value of the generalized quadratic Gauss sums', Bull. Korean Math. Soc. 48 (2011), No.1, 9-15].

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Feng Liu, Quan-Hui Yang. 2011-07-13. An identity on the $2m$-th power mean value of the generalized Gauss sums. https://arxiv.org/abs/1107.2470

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