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.
Keywords: O-minimal structure, rational points, transcendental numbers
Mot clés : structure o-minimale, points rationnels, nombres transcendants
Pila, Jonathan 1
@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}, pages = {489--514}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {60}, number = {2}, year = {2010}, doi = {10.5802/aif.2530}, mrnumber = {2667784}, zbl = {1210.11074}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2530/} }
TY - JOUR AU - Pila, Jonathan TI - Counting rational points on a certain exponential-algebraic surface JO - Annales de l'Institut Fourier PY - 2010 SP - 489 EP - 514 VL - 60 IS - 2 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2530/ DO - 10.5802/aif.2530 LA - en ID - AIF_2010__60_2_489_0 ER -
%0 Journal Article %A Pila, Jonathan %T Counting rational points on a certain exponential-algebraic surface %J Annales de l'Institut Fourier %D 2010 %P 489-514 %V 60 %N 2 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2530/ %R 10.5802/aif.2530 %G en %F AIF_2010__60_2_489_0
Pila, Jonathan. 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/articles/10.5802/aif.2530/
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