Arithmetic differential equations and $E$-functions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104900Let $K$ be a number field. We give an arithmetic characterization at infinity of the differential operator of $K[x,d/dx]$ with minimal degree in $x$ annihilating a given $E$-function.35 pages, english, version to appear in Illinois Journal of MathematicsNumber Theory12H25, 13N10Arithmetic differential equations and $E$-functionstext