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Transcendence measures by Mahler's transcendence method

Published online by Cambridge University Press:  17 April 2009

Paul-Georg Becker-Landeck
Paul-Georg Becker-Landeck
Affiliation:
Remigiusstrasse 37, D-5000 KöLN 41, West Germany.
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Abstract

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Let f(z) be an analytic function in the unit circle satisfying the functional equation f(z) = a(z) f(zρ) + b(z), where ρ is a natural number and a(z), b(z) are polynomials. If α is an algebraic number, we give a transcendence measure for f(α). This improves earlier results of Galochkin and Miller.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 33 , Issue 1 , February 1986 , pp. 59 - 65
Copyright
Copyright © Australian Mathematical Society 1986

References

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