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Arithmetic differential equations and $E$-functions

Said Manjra
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Abstract

Let $K$ 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.

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Said Manjra. 2005-11-12. Arithmetic differential equations and $E$-functions. https://arxiv.org/abs/math/0511318

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