Diophantine sets over algebraic integer rings. II

Denef, J.

doi:10.1090/S0002-9947-1980-0549163-X

Diophantine sets over algebraic integer rings. II
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by J. Denef

Trans. Amer. Math. Soc. 257 (1980), 227-236

DOI: https://doi.org/10.1090/S0002-9947-1980-0549163-X

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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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