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Preprint Number 1799
1799. Raymond McCulloch A nondefinability result for expansions of the ordered real field by the Weierstrass ℘ function E-mail: Submission date: 12 June 2020 Abstract: Suppose that Ω is a complex lattice that is closed under complex conjugation and that I is a small real interval, and that D is a disc in ℂ. Then the restriction ℘|_D is definable in the structure (ℝ̄,℘|_I) if and only if the lattice Ω has complex multiplication. This characterises lattices with complex multiplication in terms of definability. Mathematics Subject Classification: Keywords and phrases: |
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