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Hilbert's Tenth Problem and Mazur's Conjectures in Complementary Subrings of Number Fields
Hilbert’s Tenth Problem undecidability elliptic curves primitive divisor
2011/2/24
We show that Hilbert’s Tenth Problem is undecidable for complementary subrings of number fields and that the p-adic and archimedean ring versions of Mazur’s conjectures do not hold in these rings .