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Hilbert's Tenth Problem : = Diophant...

Shlapentokh, Alexandra.

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Hilbert's Tenth Problem : = Diophantine Classes and Extensions to Global Fields.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hilbert's Tenth Problem :/
Reminder of title:	Diophantine Classes and Extensions to Global Fields.
Author:	Shlapentokh, Alexandra.
Published:	Leiden :Cambridge University Press, : 2006.,
Description:	336 p.
[NT 15003449]:	Cover; Half-title; Series-title; Copyright; Title; Dedication; Contents; Acknowledgements; 1 Introduction; 2 Diophantine classes: definitions 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
[NT 15003449]:	11 Mazur's conjectures and their consequences12 Results of Poonen; 13 Beyond global fields; Appendix A: Recursion (computability) theory; Appendix B: Number theory; References; Index
Subject:	Hilbert''s tenth problem. -
Online resource:	http://dx.doi.org/10.1017/CBO9780511542954#Click here to view book
ISBN:	9780511542954 (electronic bk.)

Hilbert's Tenth Problem : = Diophantine Classes and Extensions to Global Fields.
Shlapentokh, Alexandra.

Hilbert's Tenth Problem :Diophantine Classes and Extensions to Global Fields.[electronic resource]. - Leiden :Cambridge University Press,2006. - 336 p.

Cover; Half-title; Series-title; Copyright; Title; Dedication; Contents; Acknowledgements; 1 Introduction; 2 Diophantine classes: definitions 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

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.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511542954 (electronic bk.)Subjects--Topical Terms:

1898584
Hilbert''s tenth problem.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA242 .S55 2007eb

Dewey Class. No.: 512.7

Hilbert's Tenth Problem : = Diophantine Classes and Extensions to Global Fields.
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020 $a 9780521833608 (print)
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245 1 0 $a Hilbert's Tenth Problem : $b Diophantine Classes and Extensions to Global Fields. $h [electronic resource].
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300 $a 336 p.
505 0 $a Cover; Half-title; Series-title; Copyright; Title; Dedication; Contents; Acknowledgements; 1 Introduction; 2 Diophantine classes: definitions 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
505 8 $a 11 Mazur's conjectures and their consequences12 Results of Poonen; 13 Beyond global fields; Appendix A: Recursion (computability) theory; Appendix B: Number theory; References; Index
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.
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650 4 $a Hilbert''s tenth problem. $3 1898584
655 7 $a Electronic books. $2 lcsh $3 542853
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856 4 0 $z Click here to view book $u http://dx.doi.org/10.1017/CBO9780511542954#