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On meromorphic functions of one complex variable having algebraic Laurent coefficients
Published online by Cambridge University Press: 17 April 2009
Abstract
We study the set of points at which two algebraically independent meromorphic functions have algebraic coefficients in their Laurent expansions. After a survey of the present knowledge in this field, we obtain two general transcendence criteria which sharpen previous results of Straus, Schneider and Lang. As a corollary, we give a new proof, based on Gel'fond's method, of some of Siegel's results on E-functions.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 24 , Issue 2 , October 1981 , pp. 247 - 267
- Copyright
- Copyright © Australian Mathematical Society 1981
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