# Hilbert's Tenth Problem Diophantine Classes and Extensions to Global Fields

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## ISBN-10: 0521833604

## ISBN-13: 9780521833608

## Edition: 2007

### Authors: Alexandra Shlapentokh, Bela Bollobas, William Fulton, Anatole Katok, Frances Kirwan

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### Description:

In the late sixties Matiyasevich, building on the work of Davis, Putnam and Robinson, showed that there was no algorithm to determine whether a polynomial equation in several variables and with integer coefficients has integer solutions. Hilbert gave finding such an algorithm as problem number ten on a list he presented at an international congress of mathematicians in 1900. Thus the problem, which has become known as Hilbert's Tenth Problem, was shown to be unsolvable. This book presents an account of results extending Hilbert's Tenth Problem to integrally closed subrings of global fields including, in the function field case, the fields themselves. While written from the point of view of…### Book details

List price: $156.00

Copyright year: 2007

Publisher: Cambridge University Press

Publication date: 11/9/2006

Binding: Hardcover

Pages: 330

Size: 6.25" wide x 9.25" long x 0.75" tall

Weight: 1.276

Language: English