Diophantine sets of polynomials over number fields

Details Diophantine sets of polynomials over number fields Diophantine sets of polynomials over number fields

2008-07-12

arxiv.org/abs/0807.1970v2

Mathematics

Number Theory

Previous version had a mistake in Proposition 18. This problem is avoided by working only with number fields instead of finite

Scientific paper

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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