Defining Integrality at Prime Sets of High Density over Function Fields |
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| Authors: | Alexandra Shlapentokh |
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| Institution: | (1) East Carolina University, Greenville, NC, USA, US |
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| Abstract: | Let F be a function field of characteristic over a finite field . Then for any finite set of F-primes S and any , there exists a set of F-primes W of density greater than such that and has a Diophantine definition over . (Here and is defined analogously.)
Received 5 March 2001; in revised form 4 October 2001 |
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| Keywords: | 2000 Mathematics Subject Classification: 11U09 11U05 03C07 11R45 11D72 |
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