某些D(4)-对的扩张
The extension of some D(4)-pairs
摘要:
本文利用文献[1]中的结果证明了$D(4)$ -三重$\{a, b, c\}$与$a < b < a + 57\sqrt{a}$有一个唯一的推广到具有较大元素的四重。这进一步意味着如果$a < b < a + 57\sqrt{a}$,则$D(4)$ -对$\{a, b\}$不能扩展为五元组.
英文摘要:
In this paper we illustrate the use of the results from [1] proving that $D(4)$-triple $\{a, b, c\}$ with $a < b < a + 57\sqrt{a}$ has a unique extension to a quadruple with a larger element. This furthermore implies that $D(4)$-pair $\{a, b\}$ cannot be extended to a quintuple if $a < b < a + 57\sqrt{a}$.
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。