A Diophantine problem for Laurent polynomial rings
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- by Peter Pappas PDF
- Proc. Amer. Math. Soc. 93 (1985), 713-718 Request permission
Abstract:
Let $R$ be an integral domain of characteristic zero. We prove that the diophantine problem for the Laurent polynomial ring $R[T,{T^{ - 1}}]$ with coefficients in ${\mathbf {Z}}[T]$ is unsolvable. Under suitable conditions on $R$ we then show that either ${\mathbf {Z}}$ or ${\mathbf {Z}}[i]$ is diophantine over $R[T,{T^{ - 1}}]$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 713-718
- MSC: Primary 03D35; Secondary 11U05
- DOI: https://doi.org/10.1090/S0002-9939-1985-0776209-6
- MathSciNet review: 776209