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math.NT2002★ 78 cited
Filtrations de type Hasse-Arf et monodromie p-adique
Yves André
One proves the Crew-Tsuzuki "p-adic local monodromy conjecture" (for local fields of characteristic p>0).
math.NT2000
Séries Gevrey de type arithmétique, II. Transcendance sans transcendance
Yves André
In this second part, we study the Diophantine properties of values of arithmetic Gevrey series of non-zero order at algebraic points. We rely on the fact, proved in the first part,…