Algebraic Numbers of Small Weil's Heiight in CM fields: on a Theorem of Schinzel

Abstract : Let S be the union of all CM-fields and S_0 be the set of non-zero algebraic numbers of S which are not roots of unity. We show that in S_0 Weil's height cannot be bounded from below by an absolute constant.
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Contributor : Filippo A. E. Nuccio Mortarino Majno Di Capriglio <>
Submitted on : Friday, February 21, 2014 - 7:45:54 PM
Last modification on : Monday, March 18, 2019 - 10:24:01 AM
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Francesco Amoroso, Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio. Algebraic Numbers of Small Weil's Heiight in CM fields: on a Theorem of Schinzel. Journal of Number Theory, Elsevier, 2006, 122, pp.247-260. ⟨hal-00947162⟩

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