The theory of Liouville functions

Mathematics – Logic

Scientific paper

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14 pages

Scientific paper

A Liouville function is a complex analytic function H with a Taylor series
\sum_{n=1}^{\infty} x^n/a_n such the a_n'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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