L'ensemble exceptionnel dans la conjecture de Szpiro

E. Fouvry; M. Nair; G. Tenenbaum

Bulletin de la Société Mathématique de France (1992)

  • Volume: 120, Issue: 4, page 485-506
  • ISSN: 0037-9484

How to cite

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Fouvry, E., Nair, M., and Tenenbaum, G.. "L'ensemble exceptionnel dans la conjecture de Szpiro." Bulletin de la Société Mathématique de France 120.4 (1992): 485-506. <http://eudml.org/doc/87653>.

@article{Fouvry1992,
author = {Fouvry, E., Nair, M., Tenenbaum, G.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Szpiro's conjecture; conductor; discriminant; elliptic curve; sieve methods; lower bound for the number of semistable curves; upper bound for the number of exceptions},
language = {fre},
number = {4},
pages = {485-506},
publisher = {Société mathématique de France},
title = {L'ensemble exceptionnel dans la conjecture de Szpiro},
url = {http://eudml.org/doc/87653},
volume = {120},
year = {1992},
}

TY - JOUR
AU - Fouvry, E.
AU - Nair, M.
AU - Tenenbaum, G.
TI - L'ensemble exceptionnel dans la conjecture de Szpiro
JO - Bulletin de la Société Mathématique de France
PY - 1992
PB - Société mathématique de France
VL - 120
IS - 4
SP - 485
EP - 506
LA - fre
KW - Szpiro's conjecture; conductor; discriminant; elliptic curve; sieve methods; lower bound for the number of semistable curves; upper bound for the number of exceptions
UR - http://eudml.org/doc/87653
ER -

References

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  2. [D-H] DAVENPORT (H.) et HEILBRONN (H.). — On the density of discriminants of cubic fields, Proc. Roy. Soc. London Ser. A, t. 322, 1971, p. 405-420. Zbl0212.08101MR58 #10816
  3. [E-S] EVERTSE (J.-H.) and SILVERMAN (J.). — Uniform bounds for the number of solutions of Yn = f(X), Math. Proc. Cambridge Philos. Soc., t. 100, 1986, p. 237-248. Zbl0611.10009MR87k:11034
  4. [H-S] HINDRY (M.) and SILVERMAN (J.). — The canonical height and integral points on elliptic curves, Invent. Math., t. 93, 1988, p. 419-450. Zbl0657.14018MR89k:11044
  5. [Ho] HOOLEY (C.). — Applications of sieve methods to the theory of numbers, Cambridge Tracts in Math., t. 70, 1976. Zbl0327.10044MR53 #7976
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  8. [Ma] MASSER (D.). — Note on a conjecture of Szpiro, Astérisque, 183, 1990, Séminaire sur les pinceaux de courbes elliptiques, [L. Szpiro, éd.], p. 19-23, Soc. Math. de France. Zbl0742.14027MR91g:11058
  9. [Œ] ŒSTERLE (J.). — Nouvelles approches du théorème de Fermat, Séminaire Bourbaki 1987-1988, exposé n° 694. Zbl0668.10024
  10. [Sch] SCHMIDT (W.). — Equations over finite fields : an elementary approach, Lecture Notes in Math., t. 536, 1976. Zbl0329.12001MR55 #2744
  11. [Si] SILVERMAN (J.H.). — The arithmetic of Elliptic curves, Graduate Texts in Math., t. 106, 1986. Zbl0585.14026MR87g:11070
  12. [Sp] SPRINDZUK (V.G.). — On the number of solutions of the diophantine equation x3 = y2 + A, Dokl. Akad. Nauk BSSR, t. 7, 1963, p. 9-11. Zbl0122.05504MR27 #1413
  13. [Ta] TATE (J.). — The arithmetic of elliptic curves, Invent. Math., t. 23, 1974, p. 179-206. Zbl0296.14018MR54 #7380
  14. [Te1] TENENBAUM (G.). — Un problème de probabilité conditionnelle en arithmétique, Acta Arith., t. 49, 1987, p. 165-187. Zbl0636.10038MR89d:11081
  15. [Te2] TENENBAUM (G.). — Introduction à la théorie analytique et probabiliste des nombres, Publications de l'Institut Élie Cartan n° 13, Département de Mathématiques de l'Université de Nancy I, 1990. Zbl0788.11001
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