Shatrovskii的薄基构造
Shatrovskii's construction of thin bases
摘要：
称非负整数集合A为h阶基，如果每个非负整数都可以表示为A中恰好h个不一定相异的元素之和。一个h阶加法基A称为薄基，如果存在c > 0使得A中不超过x的元素个数对所有x > 0都小于cx^{1/h}。本文给出了h阶薄基的Shatrovskii构造。
英文摘要：
The set A of nonnegative integers is called a basis of order h if every nonnegative integer can be represented as the sum of exactly h not necessarily distinct elements of A. An additive basis A of order h is called thin if there exists c > 0 such that the number of elements of A not exceeding x is less than cx^{1/h} for all x > 0. This paper describes a construction of Shatrovskii of thin bases of order h.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
