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Hilbert's tenth problem : diophantine classes and extensions to global fields /
Hilbert's Tenth Problem - to find an algorithm to determine whether a polynomial equation in several variables with integer coefficients has integer solutions - was shown to be unsolvable in the late sixties. This book presents an account of results extending Hilbert's Tenth Problem to int...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2006.
|
| Colección: | New mathematical monographs ;
7. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Shlapentokh, Alexandra. | |
| 245 | 1 | 0 | |a Hilbert's tenth problem : |b diophantine classes and extensions to global fields / |c Alexandra Shlapentokh. |
| 246 | 3 | 0 | |a Diophantine classes and extensions to global fields |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2006. | ||
| 300 | |a 1 online resource (xiii, 320 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a New mathematical monographs ; |v 7 | |
| 504 | |a Includes bibliographical references (pages 310-316) and index. | ||
| 505 | 0 | |a Introduction -- Diophantine classes: definitions and basic facts -- Diophantine equivalence and Diophantine decidability -- Integrality at finitely many primes and divisibility of order at infinitely many primes -- Bound equations for number fields and their consequences -- Units of rings of W-integers of norm 1 -- Diophantine classes over number fields -- Diophantine undecidability of function fields -- Bounds for function fields -- Diophantine classes over function fields -- Mazur's conjectures and their consequences -- Results of Poonen -- Beyond global fields -- Recursion (computability) theory -- Number theory. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Hilbert's Tenth Problem - to find an algorithm to determine whether a polynomial equation in several variables with integer coefficients has integer solutions - was shown to be unsolvable in the late sixties. This book presents an account of results extending Hilbert's Tenth Problem to integrally closed subrings of global fields. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Hilbert's tenth problem. | |
| 650 | 0 | |a Algebraic number theory. | |
| 650 | 0 | |a Diophantine equations. | |
| 650 | 6 | |a Dixième problème de Hilbert. | |
| 650 | 6 | |a Théorie algébrique des nombres. | |
| 650 | 6 | |a Équations diophantiennes. | |
| 650 | 7 | |a MATHEMATICS |x Number Theory. |2 bisacsh | |
| 650 | 7 | |a Algebraic number theory |2 fast | |
| 650 | 7 | |a Diophantine equations |2 fast | |
| 650 | 7 | |a Hilbert's tenth problem |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Shlapentokh, Alexandra. |t Hilbert's tenth problem. |d Cambridge, UK ; New York : Cambridge University Press, 2006 |z 0521833604 |z 9780521833608 |w (DLC) 2007360684 |w (OCoLC)75713026 |
| 830 | 0 | |a New mathematical monographs ; |v 7. | |
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