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On the optimality of certain estimates for algebraic values of analytic functions

Published online by Cambridge University Press:  09 April 2009

Isao Wakabayashi
Isao Wakabayashi
Affiliation:
Department of Mathematics, Tokyo University of Agriculture and Technology, Fuchu, Tokyo 183, Japan
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Abstract

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We prove, by constructing a function with given parameters, that the estimate by G. V. Chudnovsky of the number of points at which a meromorphic function has algebraic Taylor coefficients is optimal. The construction is carried out by the use of interpolation series.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 3 , December 1985 , pp. 400 - 414
Copyright
Copyright © Australian Mathematical Society 1985

References

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