摘要
将覆盖同余式推广到多元覆盖的情形，给出了多元覆盖的定义，证出了当{<μil,…，μin>(<mil,…,min>)}i=1^k为一个n元的覆盖系时，若k≥n，则有k≥n+φ(min{mn+1,…,mk}),这里φ表示欧拉函数，mi表示mil,…,min的最小公倍数。
Tne covering systems of congruences have been studied by many authors.The purpose of this paper is to study the systems of congruences with many dimensions,If{〈μ_(il),...,μ_(in)〉(〈m_(il),...,m_(in)〉)}_(i=1)~k is a CS with n dimensions and k≥n,then k≥n+(min {m_(m+1),...,m_k}),where denotes Euler's function,m_i denotes the least common multiple of m_(il),...,m_(in).
