Transcendence measures by a method of Mahler-Reference-Cited by-同舟云学术

Transcendence measures by a method of Mahler

Published:1982-01 Issue:1 Volume:32 Page:68-78
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Miller William

Abstract

AbstractSuppose 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference8 articles.

1. On algebraic functions satisfying a class of functional equations

2. Miller W. (1979), Transcendence measures for values of analytic solutions to certain functional equations (Ph.D. Thesis, University of Michigan).

3. On the algebraic independence of holomorphic solutions of certain functional equations and their values

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