Hilbert’s tenth problem for a class of rings of algebraic integers
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- by Thanases Pheidas PDF
- Proc. Amer. Math. Soc. 104 (1988), 611-620 Request permission
Abstract:
We show that ${\mathbf {Z}}$ is diophantine over the ring of algebraic integers in any number field with exactly two nonreal embeddings into ${\mathbf {C}}$ of degree $\geq 3$ over ${\mathbf {Q}}$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 611-620
- MSC: Primary 12L05; Secondary 03C60, 03D35, 11U05
- DOI: https://doi.org/10.1090/S0002-9939-1988-0962837-4
- MathSciNet review: 962837