Explicit lower bounds for the height in Galois extensions of number fields
Résumé
Amoroso and Masser proved that for every real ϵ > 0, there is a constant c(ϵ) > 0, with the property that, for every algebraic number α such that Q(α)/Q is a Galois extension, the height of α is either 0 or at least c(ϵ)[Q(α) : Q]-ϵ. In this article, we establish an explicit version of this theorem.
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Height_of_generator_of_galois_extension_version_finale.pdf (372.58 Ko)
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