Journal of the Australian Mathematical Society (Series A)

Table of Contents - 1992 - Volume 52, Issue 01  

Research Article

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

Masaaki Amoua1

a1 Department of Mathematics Gumma University Aramaki-cho 4, Maebashi 371, Japan

Abstract

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.

(Received February 26 1990)

(Revised August 28 1990)

1991 Mathematics subject classification (Amer. Math. Soc.)

  • 11 J 82