摘要
本文利用初等方法,结合同余方程解的个数与经典高斯和的性质研究了一类二项指数和五次均值的计算问题,并给出了精确的计算公式.
The main purpose of this paper is using the elementary methods,the number of the solutions of some congruence equations and the properties of the classical Gauss sums to study the calculating problem of the fifth power mean of one kind two-term exponential sums,and give the exact calculating formula for it.
作者
苑小丹
张文鹏
Xiao Dan YUAN;Wen Peng ZHANG(School of Mathematics,Northwest University,Xi'an 710127,P.R.China)
出处
《数学学报(中文版)》
CSCD
北大核心
2024年第5期987-994,共8页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(12126357)。
关键词
二项指数和
五次均值
初等方法
计算公式
The two-term exponential sums
the ffth power mean
elementary method
calculating formula