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Algebraic independence by a method of Mahler

Part of: Difference equations Difference and functional equations

Published online by Cambridge University Press:  09 April 2009

Yuval Z. Flicker
Yuval Z. Flicker
Affiliation:
Institute for Advanced Study Princeton, New Jersey 08540, U.S.A.
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Abstract

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We establish a general algebraic independence theorem for the solutions of a certain kind of functional equations. As a particular application, we prove that for any real irrational ζ, the numbers are algebraically independent, for multiplicatively independent algebraic αi with 0<|<| <1.

MSC classification

Secondary: 39A30: Stability theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 2 , March 1979 , pp. 173 - 188
Copyright
Copyright © Australian Mathematical Society 1979

References

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