Equations différentielles p-adiques et Séries Gevrey arithmétiques
Said Manjra, Salah-eddine Remmal
Abstract
Let K be a number field. This paper is devoted to a p-adic study of the algebraic differential equation of K[x,d/dx] with minimal degree in x annihilating a given E-function. Precisely, we prove a conjecture of yves André (conjecture 4.7 of math.NT/0003238)
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