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Preprint Number 994
994. Kirsten Eisentraeger, Russell Miller, Jennifer Park, and Alexandra
Shlapentokh As Easy as Q: Hilbert's Tenth Problem for Subrings of the
Rationals and Number Fields E-mail: Submission date: 26 January 2016 Abstract: Hilbert's Tenth Problem over the field Q of rational numbers is one
of the biggest open problems in the area of undecidability in number theory. In
this paper we construct new, computably presentable subrings R of Q
having the property that Hilbert's Tenth Problem for R, denoted HTP(R), is
Turing equivalent to HTP(Q). Mathematics Subject Classification: 11U05 (Primary) 12L05, 03D45 (Secondary) Keywords and phrases: |

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