10.46298/hrj.2020.6603
https://hrj.episciences.org/6603
Stewart, C,
C
Stewart
Multiplicatively dependent vectors with coordinates algebraic numbers
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).
episciences.org
Multiplicatively dependent vectors
heights
2010 MSC: 11N25, 11R04
[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
2020-06-29
2020-06-29
2020-06-29
en
journal article
https://hal.archives-ouvertes.fr/hal-02288019v2
2804-7370
https://hrj.episciences.org/6603/pdf
VoR
application/pdf
Hardy-Ramanujan Journal
Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019
Researchers
Students