A refined version of the Siegel-Shidlovskii theorem

By Frits Beukers. 2004

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Using Y. Andre'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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/08229a2eb8d72128c7346df9d439e6b1424cc256