论文标题

简短证明$ W(3,k)\ ge(1-o(1))k^2 $

A short proof that $w(3,k) \ge (1-o(1))k^2$

论文作者

Hunter, Zach

论文摘要

在这里,我们提供了一个简短的证明,即两色van der waerden number $ w(3,k)$从下面限制为$(1-o(1))k^2 $。先前的工作已经表明,$ w(3,k)$的超多个物质下限持有。但是,我们认为由于我们的技术,我们的结果仍然令人感兴趣。

Here we present a short proof that the two-color van der Waerden number $w(3,k)$ is bounded from below by $(1-o(1))k^2$. Previous work has already shown that a superpolynomial lower bound holds for $w(3,k)$. However, we believe our result is still is of interest due to our techniques.

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