## Stewart, C, - Multiplicatively dependent vectors with coordinates algebraic numbers

hrj:6603 - Hardy-Ramanujan Journal, June 29, 2020
Multiplicatively dependent vectors with coordinates algebraic numbers

Authors: Stewart, C,

We shall prove that close to each point in \mathbb{C}^n with coordinates of comparable size there is a point (t_1 , ... , t_n) with the property that no multiplicatively dependent vector (u_1 , ... , u_n) with coordinates which are algebraic numbers of height at most H and degree at most d is very close to (t_1 , ... , t_n).

Published on: June 29, 2020
Submitted on: June 29, 2020
Keywords: Multiplicatively dependent vectors,heights,2010 MSC: 11N25, 11R04,[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]