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arxiv: 0807.1970 · v2 · submitted 2008-07-12 · 🧮 math.NT · math.LO

Diophantine sets of polynomials over number fields

classification 🧮 math.NT math.LO
keywords diophantinenumbersetsenumerablefieldfieldspolynomialpolynomials
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Let R be a recursive subring of a number field. We show that recursively enumerable sets are diophantine for the polynomial ring R[Z].

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