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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.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Hilbert's Tenth Problem :/
其他題名:	Diophantine Classes and Extensions to Global Fields.
作者:	Shlapentokh, Alexandra.
出版者:	Leiden :Cambridge University Press, : 2006.,
面頁冊數:	336 p.
內容註:	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
內容註:	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
標題:	Hilbert''s tenth problem. -
電子資源:	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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