Counting rational points on a certain exponential-algebraic surface
Annales de l'Institut Fourier, Volume 60 (2010) no. 2, p. 489-514
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.
Nous étudions la répartition des points rationnels sur une certaine surface exponentielle-algébrique et prouvons, pour cette surface, une conjecture de A. J. Wilkie.
DOI : https://doi.org/10.5802/aif.2530
Classification:  11G99,  03C64
Keywords: O-minimal structure, rational points, transcendental numbers 
@article{AIF_2010__60_2_489_0,
     author = {Pila, Jonathan},
     title = {Counting rational points on a certain exponential-algebraic surface},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {60},
     number = {2},
     year = {2010},
     pages = {489-514},
     doi = {10.5802/aif.2530},
     zbl = {1210.11074},
     mrnumber = {2667784},
     language = {en},
     url = {https://aif.centre-mersenne.org/item/AIF_2010__60_2_489_0}
}

Counting rational points on a certain exponential-algebraic surface. Annales de l'Institut Fourier, Volume 60 (2010) no. 2, pp. 489-514. doi : 10.5802/aif.2530. https://aif.centre-mersenne.org/item/AIF_2010__60_2_489_0/

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