An Improvement to the Znám-Newman Result  

Znám-Newman结果的改进

作　　者：孙智伟[1] 

机构地区：[1]南京大学数学系

出　　处：《Chinese Quarterly Journal of Mathematics》1991年第3期90-96,共7页数学季刊（英文版）

摘　　要：The main result of this paper is as follows. Let n_o ∈ Z^+ be a period of the covering function σ (x)= 1. If d∈Z^+ divides some n_(l≤i≤k) and d|u_o,then the number of the n_i divided by d is at least d/(d,n.)where the notation (m,n) denotes the greatest common divicsor of m and n. In the case σ (x)≡1 it gives an improvement to the well-known Znám-Newman theorem,it is also better than the already announced result of Berger,Felzenbaum and Fraenkel.

关 键 词：剩余类 覆盖乐 Z-N结果 

分 类 号：O156.2[理学—数学]