Corner-free sets via the torus
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 constr...
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| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2209.10012 |