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. Such an operator is called an $E$-operator.
Citation
Said Manjra. "Arithmetic differential equations and $E$-functions." Illinois J. Math. 49 (4) 1061 - 1092, Winter 2005. https://doi.org/10.1215/ijm/1258138127
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