Multiplicatively dependent vectors with coordinates algebraic numbersArticle
Authors: C Stewart 1
NULL
C Stewart
- 1 University of Waterloo [Waterloo]
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).
Volume: Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019
Published on: June 29, 2020
Imported on: June 29, 2020
Keywords: 2010 MSC: 11N25, 11R04, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [en] Multiplicatively dependent vectors, heights
Funding:
Source : OpenAIRE Graph- Funder: Natural Sciences and Engineering Research Council of Canada