The algebraic numbers definable in various exponential fields

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dc.contributor.authorJonathan Kirby
dc.contributor.authorAngus Macintyre
dc.contributor.authorAlf Onshuus
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T14:53:22Z
dc.date.available2026-03-22T14:53:22Z
dc.date.issued2012
dc.descriptionCitaciones: 7
dc.description.abstractAbstract 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.
dc.identifier.doi10.1017/s1474748012000047
dc.identifier.urihttps://doi.org/10.1017/s1474748012000047
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/49142
dc.language.isoen
dc.publisherCambridge University Press
dc.relation.ispartofJournal of the Institute of Mathematics of Jussieu
dc.sourceUniversity of East Anglia
dc.subjectMathematics
dc.subjectExponential function
dc.subjectAlgebraic number
dc.subjectPure mathematics
dc.subjectAlgebra over a field
dc.titleThe algebraic numbers definable in various exponential fields
dc.typearticle

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