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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Diophantine sets over algebraic integer rings. II


Author: J. Denef
Journal: Trans. Amer. Math. Soc. 257 (1980), 227-236
MSC: Primary 12L05; Secondary 10N05
MathSciNet review: 549163
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Abstract: We prove that Z is diophantine over the ring of algebraic integers in any totally real number field or quadratic extension of a totally real number field.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0549163-X
PII: S 0002-9947(1980)0549163-X
Keywords: Hilbert's tenth problem, unsolvable problems, diophantine equations
Article copyright: © Copyright 1980 American Mathematical Society