Jonathan KirbyAngus MacintyreAlf Onshuus2026-03-222026-03-22201210.1017/s1474748012000047https://doi.org/10.1017/s1474748012000047https://andeanlibrary.org/handle/123456789/49142Citaciones: 7Abstract 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.enMathematicsExponential functionAlgebraic numberPure mathematicsAlgebra over a fieldarticle