3 problems

Relative Davenport equality conjecture. One has

Asymptotic ball Davenport conjecture. For $m\geq\sqrt d$,

For an integer $n>1$, let $I_r(\mathbb{Z}/n\mathbb{Z})$ denote the Erdős–Burgess constant of the multiplicative semigroup $\mathbb{Z}/n\mathbb{Z}$, let $\mathsf{D}(G)$ be the Daven…