数学杂志2017,Vol.37Issue(1):177-184,8.
三项指数和四次均值的精确计算公式(2)
RESEARCHING THE RELATION BETWEEN THE THREE-TERM EXPONENTIAL SUMS AND THE SYSTEM OF THE CONGRUENCE EQUATIONS
摘要
Abstract
In this paper, the computation problem of the fourth power mean of the three-term exponential sums is further studied. By using the properties of exponential sums and various techniques and methods of solving the system of congruence equations, two explicit formulas of mean value are given throughout two different methods. Moreover, the essential relation between the fourth moment and the system of congruence equations is discovered.关键词
三项指数和/四次均值/转换公式/同余方程组Key words
three-term exponential sum/fourth power mean/transform formula/the system of congruence equations引用本文复制引用
艾小川,陈华,张四兰..三项指数和四次均值的精确计算公式(2)[J].数学杂志,2017,37(1):177-184,8.基金项目
国家自然科学基金(NSFC61502156) (NSFC61502156)
海军工程大学自然科学基金(HGDQNSQJJ15001) (HGDQNSQJJ15001)
湖北省自然科学基金(2014CFB189) (2014CFB189)
湖北工业大学博士启动基金(BSQD13051) (BSQD13051)