Hui Bai, Jiayuan Hu: The error term of the fourth power mean of the generalized cubic Gauss sums, 131-138

Abstract:

The principal goal of this paper is to study the computational problem of the error term of the fourth power mean for generalized cubic Gauss sums by using the analytic methods and the properties of the classical Gauss sums. In the end, we obtain an exact computational formula for its mean square value and fourth power mean.

Key Words: The generalized cubic Gauss sums, fourth-power mean, the error term, mean square value, computational formula.

2010 Mathematics Subject Classification: Primary 11L05; Secondary 11L07.