A Note on the Sixth Power Mean Value of the Generalized Quadratic Gauss Sums

Abstract

In In this paper, the sixth mean value of the generalized quadratic Gauss sums considered by Y.F. He and W.P. Zhang is further studied when module is an arbitrary square-full number. The precise calculation formula is obtained. This improves the existed research result by averting the restriction that the module being an odd square-full number.