Counting rational points on a certain exponential-algebraic surface
[Comptage des points rationnels sur une surface exponentielle-algébrique particulière]
Pila, Jonathan1
1 University of Bristol School of Mathematics Bristol, BS8 1TW (United Kingdom)
Annales de l'Institut Fourier, Tome 60 (2010) no. 2, pp. 489-514.

Nous étudions la répartition des points rationnels sur une certaine surface exponentielle-algébrique et prouvons, pour cette surface, une conjecture de A. J. Wilkie.

We study the distribution of rational points on a certain exponential-algebraic surface and we prove, for this surface, a conjecture of A. J. Wilkie.

DOI : 10.5802/aif.2530
Classification : 11G99, 03C64
Keywords: O-minimal structure, rational points, transcendental numbers
Mot clés : structure o-minimale, points rationnels, nombres transcendants
Pila, Jonathan 1

1 University of Bristol School of Mathematics Bristol, BS8 1TW (United Kingdom) 
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Pila, Jonathan. Counting rational points on a certain exponential-algebraic surface. Annales de l'Institut Fourier, Tome 60 (2010) no. 2, pp. 489-514. doi : 10.5802/aif.2530. http://www.numdam.org/articles/10.5802/aif.2530/

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