@article{Green_2021, title={Lower bounds for corner-free sets}, volume={51}, url={https://nzjmath.org/index.php/NZJMATH/article/view/86}, DOI={10.53733/86}, abstractNote={<p>We show that for infinitely many $N$ there is a set $A \subset [N]^2$ of size $2^{-(c + o(1)) \sqrt{\log_2 N } N^2$ not containing any configuration $(x, y), (x + d, y), (x, y + d)$ with $d eq 0$, where $c = 2 \sqrt{2 \log_2 \frac{4}{3 } \approx 1.822\dots$.</p>}, journal={New Zealand Journal of Mathematics}, author={Green, Ben}, year={2021}, month={Jul.}, pages={1–2} }