具有性质D（n）的集合的大小的界
Bounds for the size of sets with the property D(n)
摘要：
设n是一个非零整数，a_1 < a_2 < ... <a_m个正整数，使得a_i*a_j + n对于所有1 <= i < j <= m都是完满平方。已知对于n = 1，m <= 5。本文证明了当|n| <= 400且m为400时，m <= 31< 15.476 log |n| for |n| >.
英文摘要：
Let n be a nonzero integer and a_1 < a_2 < ... <a_m positive integers such that a_i*a_j + n is a perfect square for all 1 <= i < j <= m. It is known that m <= 5 for n = 1. In this paper we prove that m <= 31 for |n| <= 400 and m < 15.476 log|n| for |n| > 400.
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。
