Approximations diophantiennes p -adiques sur les courbes elliptiques admettant une multiplication complexe

Daniel Bertrand

Compositio Mathematica (1978)

  • Volume: 37, Issue: 1, page 21-50
  • ISSN: 0010-437X

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Bertrand, Daniel. "Approximations diophantiennes $p$-adiques sur les courbes elliptiques admettant une multiplication complexe." Compositio Mathematica 37.1 (1978): 21-50. <http://eudml.org/doc/89373>.

@article{Bertrand1978,
author = {Bertrand, Daniel},
journal = {Compositio Mathematica},
language = {fre},
number = {1},
pages = {21-50},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Approximations diophantiennes $p$-adiques sur les courbes elliptiques admettant une multiplication complexe},
url = {http://eudml.org/doc/89373},
volume = {37},
year = {1978},
}

TY - JOUR
AU - Bertrand, Daniel
TI - Approximations diophantiennes $p$-adiques sur les courbes elliptiques admettant une multiplication complexe
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 37
IS - 1
SP - 21
EP - 50
LA - fre
UR - http://eudml.org/doc/89373
ER -

References

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  1. [1] Y. Amice: Les nombres p-adiques. P.U.F., collection SUP, Paris, (1975). Zbl0313.12104MR447195
  2. [2] A. Baker: Transcendental number theory. Cambridge University Press, Cambridge (1975). Zbl0297.10013MR422171
  3. [3] D. Bertrand: Lemmes de Schwarz et lemmes d'approximations dans les domaines ultramétriques. C.R. Conf. Luminy, Juin 1976. Groupe d'étude d'analyse ultramétrique Amice-Robba, Secr. Math. Paris (1976), n° J8. 
  4. [4] D. Bertrand: Sous groupes à un paramètre p-adique de variétés de groupes. Inventiones Math.40 (1977) 171-193. Zbl0358.10016MR444581
  5. [5] J.W.S. Cassels: Diophantine equations with special reference to elliptic curves (survey article). J. London Math. Soc.41 (1966) 193-291. Zbl0138.27002MR199150
  6. [6] J. Coates et S. Lang: Diophantine approximations on abelian varieties with complex multiplications. Inventiones Math.34 (1976) 129-133. Zbl0342.10018MR414498
  7. [7] S. Kotov: Die arithmetische Struktur der rationalen Punkte auf Kurven vom Geschlecht Eins. Acta Arith. (à paraître). Zbl0422.14012MR547670
  8. [8] S. Lang: Diophantine approximations on toruses. Amer. J. Math.86 (1964) 521-533. Zbl0142.29601MR164929
  9. [9] S. Lang: Elliptic curves; diophantine analysis. (Livre à paraître). Zbl0388.10001
  10. [10] K. Mahler: Über die rationalen Punkte auf Kurven vom Geschlecht Eins. J. r. ang. Math., 170 (1934) 168-178. Zbl0008.20002JFM60.0159.03
  11. [11] D.W. Masser: Elliptic functions and transcendence. Lecture Notes in Math. 437, Springer, Berlin-Heidelberg-New York (1975). Zbl0312.10023MR379391
  12. [12] K. Ribet: Dividing rational points on abelian varieties of C.M. type. Compositio Math., 33 (1976) 69-74. Zbl0331.14020MR424823
  13. [13] J. Tate: The arithmetic of elliptic curves. Inventiones Math., 23 (1974) 179-206. Zbl0296.14018MR419359
  14. [14] A. Weil: Sur les fonctions elliptiques p-adiques, Note aux C.R. Acad. Sc. Paris, 203 (1936) 22-24. Zbl0014.20201JFM62.0119.03

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