Étude de la courbe elliptique y 2 = 4 x 3 - 27 ( ( 3 + - 19 ) / 2 ) 2 et monogénéité de certains anneaux d’entiers

Vincent Fleckinger

Journal de théorie des nombres de Bordeaux (1989)

  • Volume: 1, Issue: 1, page 103-116
  • ISSN: 1246-7405

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Fleckinger, Vincent. "Étude de la courbe elliptique $y^2 = 4x^3 - 27 ((3 + \sqrt{-19})/2)^2$ et monogénéité de certains anneaux d’entiers." Journal de théorie des nombres de Bordeaux 1.1 (1989): 103-116. <http://eudml.org/doc/93490>.

@article{Fleckinger1989,
author = {Fleckinger, Vincent},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {3-descent; elliptic curve; -series; Birch–Swinnerton-Dyer conjecture; integral bases; ray class fields},
language = {fre},
number = {1},
pages = {103-116},
publisher = {Université Bordeaux I},
title = {Étude de la courbe elliptique $y^2 = 4x^3 - 27 ((3 + \sqrt\{-19\})/2)^2$ et monogénéité de certains anneaux d’entiers},
url = {http://eudml.org/doc/93490},
volume = {1},
year = {1989},
}

TY - JOUR
AU - Fleckinger, Vincent
TI - Étude de la courbe elliptique $y^2 = 4x^3 - 27 ((3 + \sqrt{-19})/2)^2$ et monogénéité de certains anneaux d’entiers
JO - Journal de théorie des nombres de Bordeaux
PY - 1989
PB - Université Bordeaux I
VL - 1
IS - 1
SP - 103
EP - 116
LA - fre
KW - 3-descent; elliptic curve; -series; Birch–Swinnerton-Dyer conjecture; integral bases; ray class fields
UR - http://eudml.org/doc/93490
ER -

References

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  1. [C-F] - J. Cougnard, V. FleckingerSur la monogénéité de l'anneau des entiers de certains corps de rayon A paraître dansManuscripta Mathematica. Zbl0712.11063
  2. [C-N,T] - Ph. Cassou-Noguès, M.J. TaylorElliptic functions and rings of integers. Progress in Mathematics66. Birkhaüser. Zbl0608.12013MR886887
  3. [M,W] - M. Mignotte, M. WaldschmidtLinear forms in two logarithms and Schneider's method (III). Preprint Université de Strasbourg. 
  4. [N] - A. NeronModèles minimaux des variétés abéliennes sur les corps locaux et globaux. IHES Publ. Math.21 (1964), 361-482. Zbl0132.41403MR179172
  5. [Sc] - R. SchertzKonstruktion von Potenzganzheitsbasen in Strahlklassenkörpern über imaginär quadratischen Zahlkörpern. A paraître. 
  6. [Si] - J.H. SilvermanThe Arithmetic of Elliptic Curves. Springer-Verlag (1986). Zbl0585.14026
  7. [Sh] - G. ShimuraIntroduction to the arithmetic theory of automorphic functions. Princeton University Press, (1971). Zbl0221.10029
  8. [T] - J. TateFourier Analysis in number fields and Hecke's Zeta function, Thesis, Princeton (1950). 
  9. [W] - B.F. WymanWidly ramified Gamma Extensions, American Journal of Mathematics, 91 (1969), 153-152. Zbl0188.11003

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