Hilbert's tenth problem : diophantine classes and extensions to global fields /

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Autor Principal: Shlapentokh, Alexandra.
Formato: Libro
Idioma:English
Publicado: Cambridge : Cambridge University Press, 2007.
Series:New mathematical monographs ; 7
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Acceso en línea:Publisher description
Contributor biographical information
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245 1 0 |a Hilbert's tenth problem :  |b diophantine classes and extensions to global fields /  |c Alexandra Shlapentokh. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2007. 
300 |a xiii, 320 p. ;  |c 24 cm. 
440 0 |a New mathematical monographs ;  |v 7 
504 |a Incluye referencias bibliográficas e índice. 
505 0 |a 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. 
510 4 |a MR,  |c 2009e:11235 
020 |a 0521833604 (cased) 
020 |a 9780521833608 (cased) 
100 1 |a Shlapentokh, Alexandra. 
650 0 |a Hilbert's tenth problem. 
084 |a 11U05 (03-02 03B25 11-02)  |2 msc2000 
010 |a  2007360684 
016 7 |a 013587843  |2 Uk 
040 |a UKM  |c UKM  |d BAKER  |d YDXCP  |d HKP  |d DLC 
856 4 2 |3 Publisher description  |u http://www.loc.gov/catdir/enhancements/fy0710/2007360684-d.html 
856 4 2 |3 Contributor biographical information  |u http://www.loc.gov/catdir/enhancements/fy0732/2007360684-b.html 
859 |h 11  |i Sh558  |p A-8852  |b BIB. MATEMATICA