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ALGEBRAIC VALUES OF TRANSCENDENTAL FUNCTIONS AT ALGEBRAIC POINTS

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  22 June 2010

JINGJING HUANG ,
DIEGO MARQUES  and
MARTIN MEREB
JINGJING HUANG
Affiliation:
Mathematics Department, Pennsylvania State University, PA 16802, USA (email: [email protected])
DIEGO MARQUES*
Affiliation:
Departamento De Matemática, Universidade de Brasília, Brasília, CEP: 70910–900 DF, Brazil (email: [email protected])
MARTIN MEREB
Affiliation:
Mathematics Department, University of Texas at Austin, TX 78712, USA (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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It is shown that any subset of can be the exceptional set of some transcendental entire function. Furthermore, we give a much more general version of this theorem and present a unified proof.

Keywords

exceptional settranscendentalalgebraic

MSC classification

Secondary: 11J81: Transcendence (general theory)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 2 , October 2010 , pp. 322 - 327
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

Footnotes

The second author is partially supported by FEMAT. The third author is supported by a Harrington Fellowship.

References

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