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The algebraic numbers definable in various exponential fields
Published online by Cambridge University Press: 02 April 2012
Abstract
We prove the following theorems. Theorem 1: for any E-field with cyclic kernel, in particular ℂ or the Zilber fields, all real abelian algebraic numbers are pointwise definable. Theorem 2: for the Zilber fields, the only pointwise definable algebraic numbers are the real abelian numbers.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 11 , Issue 4 , October 2012 , pp. 825 - 834
- Copyright
- Copyright © Cambridge University Press 2012
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