Arithmetic differential equations and $E$-functions

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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.
35 pages, english, version to appear in Illinois Journal of Mathematics

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Number Theory, 12H25, 13N10

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http://salesiana.dossiersoluciones.com/handle/123456789/104900

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511318
 http://arxiv.org/abs/math/0511318

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arXiv