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Transcendence measures by a method of Mahler

Published online by Cambridge University Press:  09 April 2009

William Miller
William Miller
Affiliation:
School of Natural Resources, The University of The South Pacific, Box 1168, Suva, Fiji
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Abstract

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Suppose that f(z) is a function of one complex variable satisfying

where ρ is an integer larger than 1 and a(z) and b(z) are rational functions. We consider f evaluated at the algebraic point a and develop a transcendence measure for f(α) under suitable conditions on f and α.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 1 , January 1982 , pp. 68 - 78
Copyright
Copyright © Australian Mathematical Society 1982

References

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