The algebraic numbers definable in various exponential fields

Details The algebraic numbers definable in various exponential fields The algebraic numbers definable in various exponential fields

2011-01-21

arxiv.org/abs/1101.4224v1

Mathematics

Logic

Scientific paper

We prove the following theorems: Theorem 1: For any E-field with cyclic
kernel, in particular $\mathbb C$ 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.

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