On multiplicatively independent bases in cyclotomic number fields

Manfred G. Madritsch, Volker Ziegler

Recently the authors showed that the algebraic integers of the form $-m+{\zeta }_k$ are bases of a canonical number system of $\mathbb{Z}[{\zeta }_k]$ provided $m\ge \varphi (k)+1$, where ${\zeta }_k$ denote…