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Multiplicatively dependent vectors with coordinates algebraic numbers
Abstract : 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).
Keywords :
Multiplicatively dependent vectors
heights
Cited literature [7 references]
https://hal.archives-ouvertes.fr/hal-02288019
Contributor : Cameron Stewart Connect in order to contact the contributor
Submitted on : Saturday, June 13, 2020 - 5:44:16 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
Contributor : Cameron Stewart Connect in order to contact the contributor
Submitted on : Saturday, June 13, 2020 - 5:44:16 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
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