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Creators/Authors contains: "BUGEAUD, YANN"

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  1. ; ; ; ; ; (, Mathematical Proceedings of the Cambridge Philosophical Society)
    Abstract In this paper, we establish some finiteness results about the multiplicative dependence of rational values modulo sets which are ‘close’ (with respect to the Weil height) to division groups of finitely generated multiplicative groups of a number fieldK. For example, we show that under some conditions on rational functions$$f_1, \ldots, f_n\in K(X)$$, there are only finitely many elements$$\alpha \in K$$such that$$f_1(\alpha),\ldots,f_n(\alpha)$$are multiplicatively dependent modulo such sets. 
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