Diophantine sets of polynomials over number fields

dc.creatorDemeyer, Jeroen
dc.date2008-07-12
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:01:53Z
dc.date.available2026-07-07T10:01:53Z
dc.descriptionLet R be a recursive subring of a number field. We show that recursively enumerable sets are diophantine for the polynomial ring R[Z].
dc.descriptionPrevious version had a mistake in Proposition 18. This problem is avoided by working only with number fields instead of finitely generated fields of characteristic zero
dc.identifierhttps://arxiv.org/abs/0807.1970
dc.identifierhttp://arxiv.org/abs/0807.1970
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168783
dc.subjectNumber Theory
dc.subjectLogic
dc.subject11D99 (Primary) 03D25, 12L12, 11R09, 12E10 (Secondary)
dc.titleDiophantine sets of polynomials over number fields
dc.typetext

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