A note on Maurin's theorem

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Abstract

We combine the strategy described in a paper of the first, third and fourth authors with a recent result of the second author to obtain a new proof of Maurin's Theorem to the effect that the points satisfying two independent multiplicative relations on a fixed algebraic curve form a finite set when there is no natural obstacle.

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Bombieri, E., Habegger, P., Masser, D., & Zannier, U. (2010). A note on Maurin’s theorem. Atti Della Accademia Nazionale Dei Lincei, Classe Di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 21(3), 251–260. https://doi.org/10.4171/RLM/570

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