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Article Dans Une Revue The Journal of Symbolic Logic Année : 2003

The theory of Liouville functions

Résumé

Abstract A Liouville function is an analytic function H : ℂ → ℂ with a Taylor series 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 .

Dates et versions

hal-04649266 , version 1 (16-07-2024)

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Pascal Koiran. The theory of Liouville functions. The Journal of Symbolic Logic, 2003, 68 (2), pp.353-365. ⟨10.2178/jsl/1052669055⟩. ⟨hal-04649266⟩
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