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arxiv: 1309.0441 · v1 · pith:Q2UTMF5Inew · submitted 2013-09-02 · 🧮 math.NT

Undecidability in number theory

classification 🧮 math.NT
keywords integersnumbertheoryundecidabilityaroundauthorsclassicalcontains
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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.

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