@article{CKLM22quasirandomLatinsquares, title={Quasirandom Latin squares}, author={Cooper, Jacob W and Kr{\'a}{\v{l}}, Daniel and Lamaison, Ander and Mohr, Samuel}, note = {submitted. }, archivePrefix = {arXiv}, eprint={2011.07572}, biburl = {http://samuel-mohr.de/files/bib/17.bib}, abstract = {We prove a conjecture by Garbe et al. \href{https://arxiv.org/abs/2010.07854}{[arXiv:2010.07854]} by showing that a Latin square is quasirandom if and only if the density of every {$2\times 3$} pattern is {$1/720+o(1)$}. This result is the best possible in the sense that {$2\times 3$} cannot be replaced with {$2\times 2$} or {$1\times n$} for any {$n$}. } }