@article{bwmeta1.element.bwnjournal-article-aav87i3p255bwm,
author = {Alain Plagne},
title = {A uniform version of Jarn\'\i k's theorem},
journal = {Acta Arithmetica},
volume = {89},
year = {1999},
pages = {255-267},
zbl = {0924.11084},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav87i3p255bwm}
}
Alain Plagne. A uniform version of Jarník's theorem. Acta Arithmetica, Tome 89 (1999) pp. 255-267. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav87i3p255bwm/
[000] [1] E. Bombieri and J. Pila, The number of integral points on arcs and ovals, Duke Math. J. 59 (1989), 337-357. | Zbl 0718.11048
[001] [2] G. Grekos, Sur le nombre de points entiers d'une courbe convexe, Bull. Sci. Math. (2) 112 (1988), 235-254. | Zbl 0657.10031
[002] [3] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Clarendon Press, Oxford, 1979. | Zbl 0423.10001
[003] [4] V. Jarník, Über die Gitterpunkte auf konvexen Kurven, Math. Z. 24 (1926), 500-518.
[004] [5] H. Niederreiter, The distribution of Farey points, Math. Ann. 201 (1973), 341-345. | Zbl 0248.10013
[005] [6] J. Pila, Geometric postulation of a smooth function and the number of rational points, Duke Math. J. 63 (1991), 449-463. | Zbl 0763.11025
[006] [7] W. M. Schmidt, Integer points on curves and surfaces, Monatsh. Math. 99 (1985), 45-72. | Zbl 0551.10026
[007] [8] H. P. F. Swinnerton-Dyer, The number of lattice points on a convex curve, J. Number Theory 6 (1974), 128-135. | Zbl 0285.10020
[008] [9] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Publication de l'Institut Élie Cartan, Nancy, 1990.
[009] [10] A. M. Vershik, The limit shape of convex lattice polygons and related topics, Functional Anal. Appl. 28 (1994), 13-20. | Zbl 0848.52004