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Article Dans Une Revue Hardy-Ramanujan Journal Année : 2019

Multiplicatively dependent vectors with coordinates algebraic numbers In memory of Professor Alan Baker

Résumé

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).
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Dates et versions

hal-02288019 , version 1 (13-09-2019)
hal-02288019 , version 2 (13-06-2020)

Identifiants

  • HAL Id : hal-02288019 , version 1

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C L Stewart. Multiplicatively dependent vectors with coordinates algebraic numbers In memory of Professor Alan Baker. Hardy-Ramanujan Journal, 2019. ⟨hal-02288019v1⟩
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