J Austral Math Soc Ser A 52 pp130--140, 1992.

An Improvement of a Transcendence Measure of Galochkin and Mahler's S-Numbers

Masaaki Amou

(Received 26 February 1990; revised 28 August 1990)

Abstract

We give a transendence measure of special values of functions satisfying certain functional equations. This improves and 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 transendental numbers by Mahler.

1991 AMS Subject Classification: 11J82

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Authors

Masaaki Amou: Department of Mathematics, Gumma University, Aramaki-cho 4, Maebashi 371, Japan.

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Last Modified: Mon Feb 3 9:46:11 2003