Equations différentielles $p$-adiques et Séries Gevrey arithmétiques

Said Manjra; Salah-eddine Remmal

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Equations différentielles $p$-adiques et Séries Gevrey arithmétiques

Said Manjra·Salah-eddine Remmal

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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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Said Manjra, Salah-eddine Remmal. 2005-11-12. Equations différentielles $p$-adiques et Séries Gevrey arithmétiques. https://arxiv.org/abs/math/0511317

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