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.
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Details
Title
Arithmetic differential equations and $E$-functions
Creators - without role
Said Manjra
Publisher
University of Illinois at Urbana-Champaign, Department of Mathematics