Determinants in the study of Thue's method and curves with prescribed singularities.
Diophantine equations after Fermat’s last theorem
These are expository notes that accompany my talk at the 25th Journées Arithmétiques, July 2–6, 2007, Edinburgh, Scotland. I aim to shed light on the following two questions:(i)Given a Diophantine equation, what information can be obtained by following the strategy of Wiles’ proof of Fermat’s Last Theorem?(ii)Is it useful to combine this approach with traditional approaches to Diophantine equations: Diophantine approximation, arithmetic geometry, ...?
Diophantine properties of linear recursive sequences. II.
Distribution des nombres premiers et fonction