科研之友
微信
新浪微博
Facebook
分享链接
摘要
Let A be a subset of N, the set of all nonnegative integers. For an integer h >= 2, let hA be the set of all sums of h elements of A. The set A is called an asymptotic basis of order h if hA contains all sufficiently large integers. Otherwise, A is called an asymptotic nonbasis of order h. An asymptotic nonbasis A of order h is called a maximal asymptotic nonbasis of order h if A boolean OR {a} is an asymptotic basis of order h for every a is not an element of A. In this paper, we construct a sequence of asymptotic nonbases of order h for each h >= 2, each of which is not a subset of a maximal asymptotic nonbasis of order h.
- 出版日期2017-2
- 单位安徽师范大学
