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20042024
most citedDiophantine definability of infinite discrete non-archimedean sets and Diophantine models over large subrings of number fields

12 citations · 33 across the 23 of their papers we have counts for

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math.NT2004★ 12 cited

Diophantine definability of infinite discrete non-archimedean sets and Diophantine models over large subrings of number fields

Bjorn Poonen, Alexandra Shlapentokh

We prove that infinite p-adically discrete sets have Diophantine definitions in large subrings of some number fields. First, if K is a totally real number field or a totally comple…