On montre plusieurs résultats à propos de la longueur minimale d’un arc de l’hyperbole contenant points entiers.
We include several results providing bounds for an interval on the hyperbola containing lattice points.
@article{JTNB_2000__12_1_87_0, author = {Cilleruelo, Javier and Jim\'enez-Urroz, Jorge}, title = {The hyperbola $xy = N$}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {87--92}, publisher = {Universit\'e Bordeaux I}, volume = {12}, number = {1}, year = {2000}, mrnumber = {1827840}, zbl = {1006.11055}, language = {en}, url = {http://www.numdam.org/item/JTNB_2000__12_1_87_0/} }
Cilleruelo, Javier; Jiménez-Urroz, Jorge. The hyperbola $xy = N$. Journal de théorie des nombres de Bordeaux, Tome 12 (2000) no. 1, pp. 87-92. http://www.numdam.org/item/JTNB_2000__12_1_87_0/
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