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Hilbert's Tenth Problem
Diophantine Classes and Extensions to Global Fields
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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.
Cambridge University Press; November 2006
336 pages; ISBN 9780511254710
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336 pages; ISBN 9780511254710
Read online, or download in secure PDF format