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The theory of Liouville functions

Published online by Cambridge University Press:  12 March 2014

Pascal Koiran
Pascal Koiran*
Affiliation:
LIP, Ecole Normale Supérieure de Lyon, 46, Allée D'talie, 69364 Lyon Cedex 07, France, E-mail: [email protected]
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Abstract

A Liouville function is an analytic function H: ℂ → ℂ with a Taylor series such the an's form a “very fast growing” sequence of integers. In this paper we exhibit the complete first-order theory of the complex field expanded with H.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 68 , Issue 2 , June 2003 , pp. 353 - 365
Copyright
Copyright © Association for Symbolic Logic 2003

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References

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