Arithmetic differential equations and $E$-functions

Details Arithmetic differential equations and $E$-functions Arithmetic differential equations and $E$-functions

2005-11-12

arxiv.org/abs/math/0511318v1

Mathematics

Number Theory

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

Scientific paper

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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