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On Diophantine sets over polynomial rings |
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| Authors: | Karim Zahidi |
| Affiliation: | Universiteit Gent, Vakgroep Kwantitatieve Technieken, Hoveniersberg 4, B-9000 Gent, Belgium |
| Abstract: | We prove that the recursively enumerable relations over a polynomial ring ![$R[t]$](http://www.ams.org/proc/2000-128-03/S0002-9939-99-05179-5/gif-abstract/img1.gif){kind=small} , where  is the ring of integers in a totally real number field, are exactly the Diophantine relations over ![$R[t]$](http://www.ams.org/proc/2000-128-03/S0002-9939-99-05179-5/gif-abstract/img3.gif){kind=small} . |
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