Diophantine sets over algebraic integer rings. II-Reference-Cited by-同舟云学术

Diophantine sets over algebraic integer rings. II

Published:1980 Issue:1 Volume:257 Page:227-236
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Denef J.

Abstract

We prove that Z is diophantine over the ring of algebraic integers in any totally real number field or quadratic extension of a totally real number field.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1980-257-01/S0002-9947-1980-0549163-X/S0002-9947-1980-0549163-X.pdf

Reference11 articles.

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2. Hilbert’s tenth problem is unsolvable;Davis, Martin;Amer. Math. Monthly,1973

3. Hilbert’s tenth problem: Diophantine equations: positive aspects of a negative solution;Davis, Martin,1976

4. Hilbert’s tenth problem for quadratic rings;Denef, J.;Proc. Amer. Math. Soc.,1975

5. \bysame, Diophantische verzamelingen over ringen van algebraische gehelen, Thesis, Leuven, 1976.

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