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The theory of Liouville functions
[article]
2002
arXiv
pre-print
A Liouville function is a complex analytic function H with a Taylor series ∑_n=1^∞ 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.
arXiv:math/0203108v1
fatcat:wilpp3zhbze6pmratjodh566ze