3 problems

Let $d$ and $N$ be positive integers, and consider the discrete sphere … A set $E\subset\mathbb{Z}^d$ is a $\Lambda(p)$-set if it has the $\Lambda(p)$-property, namely the relevant…

The cubes' $\Lambda_4$ conjecture. The set of cubes

Cilleruelo–Córdoba conjecture. There is a constant $c(\gamma)>0$, depending only on $\gamma$, such that