Shlapentokh, Alexandra.
Hilbert's tenth problem : diophantine classes and extensions to global fields / Alexandra Shlapentokh.
— Cambridge : Cambridge University Press, 2007. xiii, 320 p. ; 24 cm. — (New mathematical monographs ; 7)
Incluye referencias bibliográficas e índice.
Contenido: 1. Introduction — 2. Diophantine classes: definition and basic facts — 3. Diophantine equivalence and diophantine decidability — 4. Integrality at finitely many primes and divisibility of order at infinitely many primes — 5. Bound equations for number fields and their consequences — 6. Units of rings of W-integers of norm 1 — 7. Diophantine classes over number fields — 8. Diophantine undecidability of function fields — 9. Bounds for function fields — 10. Diophantine classes over function fields — 11. Mazur's conjectures and their consequences — 12. Results of Poonen — 13. Beyond global fields — A. Recursion theory — B. Number theory.
ISBN 0521833604 (cased). — ISBN 9780521833608 (cased)
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