Algebraic approximations to linear combinations of powers: an extension of results by Mahler and Corvaja-Zannier

Avinash Kulkarni, Niki Myrto Mavraki, Khoa D. Nguyen

For every complex number $x$, let $\Vert x{\Vert }_{\mathbb{Z}}:=\min \{|x-m|:m\in \mathbb{Z}\}$. Let $K$ be a number field, let $k\in \mathbb{N}$, and let ${\alpha }_1,\dots ,{\alpha }_k$ be non-zero…