科研之友
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摘要
Let N be the set of all nonnegative integers and k >= 2 be a fixed integer. For a set A subset of N, let r(k)(A, n) denote the number of solutions of a(1) + a(2) + ... + a(k) = n with a(1), a(2), ... , a(k) is an element of A. In this paper, we prove that there is a set A subset of N such that r(k)(A, n) >= 1 for all integers n >= 0 and the set of n with r(k)(A, n) = k! has density one. This generalizes a recent result of Chen.
- 出版日期2013-11
- 单位南京师范大学
