Un point
A point
Keywords: algebraic curves, conics, real points, approximation by rational points, exponent of approximation, simultaneous approximation
Mot clés : courbes algébriques, coniques, points réels, approximation par des points rationnels, exposant d’approximation, approximation simultanée
@article{AIF_2013__63_6_2331_0, author = {Roy, Damien}, title = {Rational approximation to real points on conics}, journal = {Annales de l'Institut Fourier}, pages = {2331--2348}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {63}, number = {6}, year = {2013}, doi = {10.5802/aif.2832}, zbl = {06325436}, mrnumber = {3237450}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2832/} }
TY - JOUR AU - Roy, Damien TI - Rational approximation to real points on conics JO - Annales de l'Institut Fourier PY - 2013 SP - 2331 EP - 2348 VL - 63 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2832/ DO - 10.5802/aif.2832 LA - en ID - AIF_2013__63_6_2331_0 ER -
%0 Journal Article %A Roy, Damien %T Rational approximation to real points on conics %J Annales de l'Institut Fourier %D 2013 %P 2331-2348 %V 63 %N 6 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2832/ %R 10.5802/aif.2832 %G en %F AIF_2013__63_6_2331_0
Roy, Damien. Rational approximation to real points on conics. Annales de l'Institut Fourier, Tome 63 (2013) no. 6, pp. 2331-2348. doi : 10.5802/aif.2832. http://archive.numdam.org/articles/10.5802/aif.2832/
[1] Approximation simultanée d’un nombre
[2] Exponents of Diophantine approximation and Sturmian continued fractions, Ann. Inst. Fourier (Grenoble), Volume 55 (2005) no. 3, pp. 773-804 | DOI | Numdam | MR | Zbl
[3] Approximation to real numbers by algebraic integers, Acta Arith., Volume 15 (1968/1969), pp. 393-416 | MR | Zbl
[4] Extremal subspaces and their submanifolds, Geom. Funct. Anal., Volume 13 (2003) no. 2, pp. 437-466 | DOI | MR | Zbl
[5] Simultaneous rational approximation to the successive powers of a real number, Indag. Math. (N.S.), Volume 14 (2003) no. 1, pp. 45-53 | DOI | MR | Zbl
[6] Simultaneous approximation to a real number and to its cube, Acta Arith. (to appear)
[7] Approximation simultanée d’un nombre et de son carré, C. R. Math. Acad. Sci. Paris, Volume 336 (2003) no. 1, pp. 1-6 | DOI | MR | Zbl
[8] Approximation to real numbers by cubic algebraic integers. II, Ann. of Math. (2), Volume 158 (2003) no. 3, pp. 1081-1087 | DOI | MR | Zbl
[9] Approximation to real numbers by cubic algebraic integers. I, Proc. London Math. Soc. (3), Volume 88 (2004) no. 1, pp. 42-62 | DOI | MR | Zbl
[10] On two exponents of approximation related to a real number and its square, Canad. J. Math., Volume 59 (2007) no. 1, pp. 211-224 | DOI | MR | Zbl
[11] On simultaneous rational approximations to a real number, its square, and its cube, Acta Arith., Volume 133 (2008) no. 2, pp. 185-197 | DOI | MR | Zbl
[12] Diophantine approximation, Lecture Notes in Mathematics, 785, Springer, Berlin, 1980, pp. x+299 | MR | Zbl
[13] Simultaneous approximation to real and p-adic numbers, ProQuest LLC, Ann Arbor, MI, 2009, pp. 147 Thesis (Ph.D.)–University of Ottawa (Canada) | MR
Cité par Sources :