La conjecture de Catalan racontée á un ami qui a le temps

Mathematics – Number Theory

Scientific paper

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70 pages

Scientific paper

Ce texte est une d\'emontration compl\`ete de la conjecture de Catalan
\'elabor\' ee \`a la suite d'un s\'eminaire fait \`a Lausanne entre 2002 et
2004, juste apr\`es l'annonce de la merveilleuse preuve de Preda Mihailescu

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