Diophantine sets of polynomials over number fields

DOI10.1090/S0002-9939-10-10329-3zbMath1235.11115arXiv0807.1970OpenAlexW2062030929MaRDI QIDQ3581096

Jeroen Demeyer

Publication date: 16 August 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1970

zbMATH Keywords

recursively enumerable setHilbert's tenth problemDiophantine set

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Special polynomials in general fields (12E10) Recursively (computably) enumerable sets and degrees (03D25) Model theory (number-theoretic aspects) (11U09) Diophantine equations (11D99)

Related Items (4)

NOTES ON THE DPRM PROPERTY FOR LISTABLE STRUCTURES ⋮ DIOPHANTINE SETS OF POLYNOMIALS OVER ALGEBRAIC EXTENSIONS OF THE RATIONALS ⋮ On existential definitions of c.e. subsets of rings of functions of characteristic 0 ⋮ Hilbert's tenth problem for rational function fields over \(p\)-adic fields

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