光滑Weyl和的分数幂次均值数值边界(英文)  

Numerical Bounds for the Mean Values of Smooth Weyl Sums of Fractional Moments

作　　者：王天泽[1] 王天芹[1] 

机构地区：[1]华北水利水电学院信息工程系,郑州450011

出　　处：《河南大学学报（自然科学版）》2012年第5期467-475,共9页Journal of Henan University:Natural Science

基　　金：Project Supported by the National Natural Science Foundation of China(11071070);Foundation and Advanced Technology Research Program of Henan Province(122300410030)

摘　　要：讨论了分数幂次光滑Weyl和的均值数值边界之间的关系,给出了幂次区间[4,5]中的数时相应均值数值边界的一些新结果.In this paper, we discuss some relationship of the numerical bounds on the mean values of smooth Weyl sums of fractional moments based on a creative work of Wooley. Some new results on the numerical bounds of the mean values are given when the moments are in the interval [4,5].

关 键 词：允许指数 均值 光滑Weyl和 数值边界 

分 类 号：O156.4[理学—数学]