Mildness and the Density of Rational Points on Certain Transcendental Curves
Jones, G. O. ; Miller, D. J. ; Thomas, M. E. M.
Notre Dame J. Formal Logic, Tome 52 (2011) no. 1, p. 67-74 / Harvested from Project Euclid
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We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minimal structures admit definable parameterizations by mild maps. We then use this parameterization to prove a result on the density of rational points on curves defined by restricted Pfaffian functions.
Publié le : 2011-01-15
Classification:  Pfaffian functions,  parameterization,  rational points,  03C64,  11G99,  11U09 
@article{1292249611,
     author = {Jones, G. O. and Miller, D. J. and Thomas, M. E. M.},
     title = {Mildness and the Density of Rational Points on Certain Transcendental Curves},
     journal = {Notre Dame J. Formal Logic},
     volume = {52},
     number = {1},
     year = {2011},
     pages = { 67-74},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1292249611}
}

Jones, G. O.; Miller, D. J.; Thomas, M. E. M. Mildness and the Density of Rational Points on Certain Transcendental Curves. Notre Dame J. Formal Logic, Tome 52 (2011) no. 1, pp.  67-74. http://gdmltest.u-ga.fr/item/1292249611/