一类同余方程组解数的上界估计

上海大学学报(自然科学版) ›› 2010, Vol. 16 ›› Issue (3): 286-289.

一类同余方程组解数的上界估计

马计国

(上海大学理学院,上海 200444)

出版日期:2010-06-28 发布日期:2010-06-28

Estimation of Upper Bound for Number of Solutions of a Kind of Congruence

MA Ji-guo

(College of Sciences, Shanghai University, Shanghai 200444, China)

Online:2010-06-28 Published:2010-06-28

摘要/Abstract

摘要：

主要研究同余方程组有解时,关于m=(m₁,m₂,…,m_2r)解数的问题.通过引入初等的方法,得到当r=4时,该同余方程组关于m解数的上界估计.

关键词: 同余方程组;解数;特征和

Abstract:

The problem of the solution number about m=(m₁,m₂,…,m_2r) was studied, when the congruence can be solved. By introducing an elementary method, we obtain the solution number of m in the congruence when r=4. 

Key words: congruence; number of solutions; characteristic sum

马计国. 一类同余方程组解数的上界估计[J]. 上海大学学报(自然科学版), 2010, 16(3): 286-289.

MA Ji-guo. Estimation of Upper Bound for Number of Solutions of a Kind of Congruence[J]. Journal of Shanghai University（Natural Science Edition）, 2010, 16(3): 286-289.