论文标题

通过圆环的无角套装

Corner-free sets via the torus

论文作者

Hunter, Zach

论文摘要

一个角是$ \ bbb {z}^2 $中$(x,y),(x+d,y),(x,y+d)$中的点三重点。人们可以将它们视为3-期算术进程的2D分析。 在简短的说明中,我们将绿色狼的想法从后者的设置扩展到了前者,从而实现了无角套的构造稍好。

A corner is a triple of points in $\Bbb{Z}^2$ of the form $(x,y),(x+d,y),(x,y+d)$ where $d\neq 0$. One can think of them as being 2D-analogues to 3-term arithmetic progressions. In this short note, we extend ideas of Green-Wolf from this latter setting to the former, achieving slightly better constructions of corner-free sets.

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