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An improvement of a transcendence measure of Galochkin and Mahler's S-numbers

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  09 April 2009

Masaaki Amou
Masaaki Amou
Affiliation:
Department of MathematicsGumma UniversityAramaki-cho 4, Maebashi 371, Japan
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Abstract

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We give a transcendence measure of special values of functions satisfying certain functional equations. This improves an earlier result of Galochkin, and gives a better upper bound of the type for such a number as an S-number in the classification of transcendental numbers by Mahler.

MSC classification

Secondary: 11J82: Measures of irrationality and of transcendence
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 52 , Issue 1 , February 1992 , pp. 130 - 140
Copyright
Copyright © Australian Mathematical Society 1992

References

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