Journal of Symbolic Logic 68 (2):353-365 (2003)

Abstract
A Liouville function is an analytic function $H : C \rightarrow C$ with a Taylor series $\Sigma_{n=1}^\infty x^n/a_n$ such the $a_n\prime s$ 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
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DOI 10.2178/jsl/1052669055
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