A refined version of the Siegel-Shidlovskii theorem

• Autores: Frits Beukers
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 163, Nº 1, 2006, págs. 369-379
• Idioma: inglés
• DOI: 10.4007/annals.2006.163.369
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• Resumen

  • Using Y. Andr¿e¿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.