We establish a Szemerédi–Trotter type result for hyperbolas in .
Nous démontrons une version du théorème de Szemerédi–Trotter pour des familles dʼhyperboles dans .
Accepted:
Published online:
Jean Bourgain  1
Jean Bourgain. A modular Szemerédi–Trotter theorem for hyperbolas. Comptes Rendus. Mathématique, Volume 350 (2012) no. 17-18, pp. 793-796. doi: 10.1016/j.crma.2012.09.011
@article{CRMATH_2012__350_17-18_793_0,
author = {Jean Bourgain},
title = {A modular {Szemer\'edi{\textendash}Trotter} theorem for hyperbolas},
journal = {Comptes Rendus. Math\'ematique},
pages = {793--796},
year = {2012},
publisher = {Elsevier},
volume = {350},
number = {17-18},
doi = {10.1016/j.crma.2012.09.011},
language = {en},
}
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☆ The research was partially supported by NSF grants DMS-0808042 and DMS-0835373.
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