Undecidability in number theory
Number Theory
2013-09-03 v1
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.
Keywords
Cite
@article{arxiv.1309.0441,
title = {Undecidability in number theory},
author = {Jochen Koenigsmann},
journal= {arXiv preprint arXiv:1309.0441},
year = {2013}
}
Comments
48 pages. arXiv admin note: text overlap with arXiv:1011.3424