Comparing C and Zilber exponential fields, zero sets of exponential polynomials

DOI10.1017/S1474748014000231zbMath1522.11131arXiv1310.6891MaRDI QIDQ6245905

Paola D'Aquino, Giuseppina Terzo, Angus J. Macintyre

Publication date: 25 October 2013

Abstract: We continue the research programme of comparing the complex exponential field with Zilber exponential. For the latter we prove, using diophantine geometry, various properties about zero sets of exponential functions, proved for C using analytic function theory, e g the Identity Theorem.

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory (number-theoretic aspects) (11U09) Model theory of fields (12L12)

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