Quantitative versions of the Subspace Theorem and applications

Bugeaud, Yann

Journal de théorie des nombres de Bordeaux, Volume 23 (2011) no. 1, pp. 35-57.

During the last decade, several quite unexpected applications of the Schmidt Subspace Theorem were found. We survey some of these, with a special emphasize on the consequences of quantitative statements of this theorem, in particular regarding transcendence questions.

De nouvelles applications du théorème du sous-espace de Wolfgang Schmidt, certaines assez inattendues, ont été trouvées lors de la dernière décennie. Nous en présentons quelques-unes, en insistant tout particulièrement sur les conséquences des versions quantitatives de ce théorème, notamment concernant des questions de transcendance.

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