摘要
设A是由n个互不相同的正整数a_i组成的序列,Graham猜测:ma_(i,j) a_i/(a_i,a_j)≥n.本文证明了:设p是任意的素数,A为含有正整数p^d(d≥0)的p单纯序列,则猜想成立.
In 1970, R.L.Graham asked if the following is true: Let A be a finitesequence of n different positive integers ai;,1≤i≤n. Then maxMany partial results have been obtained, particularly for the case where one of the ai's is prime. In this paper we give a simple proof of the followingTheorem. Let A be a p-simple sequence containing pd (d≥0) for some prime number. Then
出处
《杭州大学学报（自然科学版）》
CSCD
1992年第4期360-361,共2页
Journal of Hangzhou University Natural Science Edition
基金
国家自然科学基金会资助项目
