Abstract
Abstract
Let
$\Gamma \subset \overline {\mathbb {Q}}^*$
be a finitely generated subgroup. Denote by
$\Gamma _{\mathrm {div}}$
its division group. A recent conjecture due to Rémond, related to the Zilber–Pink conjecture, predicts that the absolute logarithmic Weil height of an element of
$\mathbb {Q}(\Gamma _{\mathrm {div}})^*\backslash \Gamma _{\mathrm {div}}$
is bounded from below by a positive constant depending only on
$\Gamma $
. In this paper, we propose a new way to tackle this problem.
Publisher
Canadian Mathematical Society
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