title: A new sum analogous to Gauss sums and its fourth power mean.
abstract: The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind of new sum analogous to Gauss sums and give an interesting fourth power mean and a sharp upper bound estimate for it.
authors: School of Economics & Management, Northwest University, Xi'an 710127, China.
authors: Shaofeng
authors: S
authors: Ru
authors: Department of Mathematics, Northwest University, Xi'an 710127, China.
authors: Wenpeng
authors: 0000-0002-2560-3559
authors: W
authors: Zhang
mesh_terms: D000465:Algorithms; D008433:Mathematics / Q000379:methods*; D009716:Numerical Analysis, Computer-Assisted