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Preprint Number 620

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620. Jochen Koenigsmann
Undecidability in number theory
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Submission date: 2 September 2013.

Abstract:

These lecture notes cover classical undecidability results in number theory, Hilbert's 10th problem and recent developments around it, also for rings other than the integers. It also contains a sketch of the authors result that the integers are universally definable in the rationals.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1309.0441: pdf, ps.


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