@article{BSMF_1989__117_2_247_0, author = {Masser, D.W.}, title = {Counting points of small height on elliptic curves}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {247--265}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {117}, number = {2}, year = {1989}, doi = {10.24033/bsmf.2120}, mrnumber = {90k:11068}, zbl = {0723.14026}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2120/} }
TY - JOUR AU - Masser, D.W. TI - Counting points of small height on elliptic curves JO - Bulletin de la Société Mathématique de France PY - 1989 SP - 247 EP - 265 VL - 117 IS - 2 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2120/ DO - 10.24033/bsmf.2120 LA - en ID - BSMF_1989__117_2_247_0 ER -
%0 Journal Article %A Masser, D.W. %T Counting points of small height on elliptic curves %J Bulletin de la Société Mathématique de France %D 1989 %P 247-265 %V 117 %N 2 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2120/ %R 10.24033/bsmf.2120 %G en %F BSMF_1989__117_2_247_0
Masser, D.W. Counting points of small height on elliptic curves. Bulletin de la Société Mathématique de France, Volume 117 (1989) no. 2, pp. 247-265. doi : 10.24033/bsmf.2120. http://www.numdam.org/articles/10.24033/bsmf.2120/
[AM] Lower bounds for heights on elliptic curves, Math. Z., t. 174, 1980, p. 23-34. | MR | Zbl
and . -[BM] Multiplicity estimates for analytic functions I, J. Reine Angew. Math., t. 314, 1979, p. 200-216. | MR | Zbl
and . -[C] Explicit calculation of some effective constants in transcendence proofs, Ph. D. Thesis, University of Nottingham, 1985, Chapter 3.
. -[Da] Fonctions thêta et points de torsion des variétés abéliennes, C. R. Acad. Sci. Paris, t. 305, 1987, p. 211-214. | MR | Zbl
. -[Do] On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith., t. 34, 1979, p. 391-401. | MR | Zbl
. -[FP] Quelques résultats de transcendance liés à l'invariant modulaire j, J. Number Theory, t. 25, 1987, p. 184-200. | MR | Zbl
and . -[H] Géométrie et hauteurs dans les groupes algébriques, Thèse de Doctorat de l'Université Paris VI, 1987.
. -[I] Theta functions. - Berlin-Heidelberg-New York, Springer-Verlag, 1972. | MR | Zbl
. -[L] Minoration de la hauteur de Néron-Tate, [Séminaire de Théorie de Nombres, Paris 1981 - 2], Boston-Basel-Stuttgart, Birkhäuser, 1983, pp. 137-152. | MR | Zbl
. -[M] Division fields of elliptic functions, Bull. London Math. Soc., t. 9, 1977, p. 49-53. | MR | Zbl
. -[M′] Small values of heights on families of abelian varieties, [Lecture Notes in Math., vol. 1290], New York-Berlin-Heidelberg-Tokyo, Springer-Verlag, 1987, pp. 109-148. | MR | Zbl
. -[S] Lower bounds for the canonical height on elliptic curves, Duke Math. J., t. 48, 1981, p. 633-648. | MR | Zbl
. -[S′] The arithmetic of elliptic curves. - New York-Berlin-Heidelberg-Tokyo, Springer-Verlag, 1986. | MR | Zbl
. -[Z] On the difference of the Weil height and the Néron-Tate height, Math. Z., t. 147, 1976, p. 35-51. | MR | Zbl
. -[Z′] Quasi-functions on elliptic curves over number fields, J. Reine Angew. Math., t. 307, 1979, p. 221-246. | MR | Zbl
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