Majorization and additive tuples in $\mathbb{Z}_2^n$
Majorization is a fundamental tool for comparing how"spread out"the entries of two vectors are. Key majorization results were obtained for the integers by Hardy, Littlewood and P\'olya and for $\mathbb{Z}_p$ by Lev. In this paper, we establish a powerful majorization theorem in $\mathbb{Z}_2^n$ that is an analogue of L...