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Osculating spaces and diophantine equations (with an Appendix by Pietro Corva...
International audience -
A proof of Pillai conjecture
15 pages -
A proof of Beal's conjecture
5 pages -
An infinite family of multiplicatively independent bases of number systems in...
Let $\zeta_k$ be a $k$-th primitive root of unity, $m\geq\phi(k)+1$ an integer and $\Phi_k(X)\in\mathbb Z [X]$ the $k$-th cyclotomic polynomial. In this paper we show... -
Un nouveau critère pour l'équation de Catalan
Article dans revue scientifique avec comité de lecture. -
Solving Thue equations without the full unit group
Article dans revue scientifique avec comité de lecture.
