Geodesic
A refined version of the Siegel–Shidlovskii theorem
Frits Beukers1
1 Mathematisch Instituut, Universiteit Utrecht, 3508 Utrecht, Netherlands
Annals of mathematics, Tome 163 (2006) no. 1, pp. 369-379.

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Using Y. André’s result on differential equations satisfied by $E$-functions, we derive an improved version of the Siegel-Shidlovskii theorem. It gives a complete characterisation of algebraic relations over the algebraic numbers between values of $E$-functions at any nonzero algebraic point.
DOI : 10.4007/annals.2006.163.369

Frits Beukers 1

1 Mathematisch Instituut, Universiteit Utrecht, 3508 Utrecht, Netherlands 
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Frits Beukers. A refined version of the Siegel–Shidlovskii theorem. Annals of mathematics, Tome 163 (2006) no. 1, pp. 369-379. doi : 10.4007/annals.2006.163.369. http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.163.369/

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