A refined version of the Siegel-Shidlovskii theorem

dc.creatorBeukers, F.
dc.date2004-05-28
dc.date2004-08-06
dc.date.accessioned2026-07-07T05:08:41Z
dc.date.available2026-07-07T05:08:41Z
dc.descriptionUsing Y.André's result on differential equations staisfied 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 non-zero algebraic point.
dc.description9 pages 2nd version: Changed title, added reference to D.Bertrand and corrected error in definition of H in the proof of Theorem 2.5 3rd version: Added reference to vdPut/Singer, improved presentation
dc.identifierhttps://arxiv.org/abs/math/0405549
dc.identifierhttp://arxiv.org/abs/math/0405549
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71365
dc.subjectNumber Theory
dc.subject11J81
dc.titleA refined version of the Siegel-Shidlovskii theorem
dc.typetext

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