@article{10_1090_S0894_0347_03_00433_8, author = {Poonen, Bjorn}, title = {Hilbert{\textquoteright}s {Tenth} {Problem} and {Mazur{\textquoteright}s} {Conjecture} for large subrings of {\ensuremath{\mathbb{Q}}}}, journal = {Journal of the American Mathematical Society}, pages = {981--990}, year = {2003}, volume = {16}, number = {4}, doi = {10.1090/S0894-0347-03-00433-8}, url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-03-00433-8/} }