二项指数和四次混合均值的计算（英文）  

AN EXPLICIT FORMULA FOR THE FOURTH MOMENT OF TWO-TERM EXPONENTIAL SUMS

作　　者：艾小川[1] 陈华[2] 张四兰[3] 

机构地区：[1]海军工程大学理学院应用数学系,湖北武汉430033 [2]湖北工业大学理学院,湖北武汉430068 [3]华中农业大学理学院,湖北武汉430070

出　　处：《数学杂志》2017年第5期945-955,共11页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(61502156);NSF Grants of Naval University of Engineering(HGDQNSQJJ15001);NSF Grants of Hubei Province(2014CFB189)

摘　　要：本文研究了二项指数和四次均值的计算问题.利用初等数论及代数数论的方法获得了一个精确的计算公式以及一个转换公式,推广了已有的结果,揭示了均值计算与同余方程组的本质联系.The fourth power mean of two-term exponential sums is studied in this paper. By elementary and algebraic methods, an explicit computation formula and a transform formula are proposed, which extend the original research results and discover the essential relation between fourth moment and congruence equations.

关 键 词：二项指数和 混合均值 四次均值 转换公式 

分 类 号：O156.2[理学—数学]