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Ono, Ken
Rank zero quadratic twists of modular elliptic curves. Compositio Mathematica, 104 no. 3 (1996), p. 293-304
Texte intégral djvu | pdf | Analyses MR 1424558 | Zbl 0876.11025

URL stable: http://www.numdam.org/item?id=CM_1996__104_3_293_0

Bibliographie

1 Bump, D., Friedberg, S. and Hoffstein J.: Nonvanishing theorems for L-functions of modular fomrs and their derivatives, Inventiones Math. 102 (1990), 543-618.  MR 1074487 |  Zbl 0721.11023
2 Deligne, P.: La conjecture de Weil I, Publ. Math. I.H.E.S. 43 (1974), 273-307.
Numdam |  MR 340258 |  Zbl 0287.14001
3 Diamond, F. and Kramer, K.: Modularity of a family of elliptic curves, Math. Research Letters (2)(3) (1995), 299-304.  MR 1338788 |  Zbl 0867.11041
4 Gouvêa, F. and Mazur, B.: The square-free sieve and the rank of elliptic curves, J. Amer. Math. Soc. 4 (1991), 1-23.  MR 1080648 |  Zbl 0725.11027
5 Husemöller, D.: Elliptic curves, Springer-Verlag, New York, 1987.  MR 868861 |  Zbl 0605.14032
6 Knapp, A.: Elliptic curves, Princeton Univ. Press, 1992.  MR 1193029 |  Zbl 0804.14013
7 Koblitz, N.: Introduction to elliptic curves and modular forms, Springer-Verlag, 1984.  MR 766911 |  Zbl 0553.10019
8 Kohnen, W.: A remark on the Shimura correspondence, Glasgow Math. J. 30 (1988), 285-291.  MR 964575 |  Zbl 0659.10024
9 Kolyvagin, V.A.: Finiteness of E(Q) and the Tate-Shafarevich group of E(Q) for a subclass of Weil curves (Russian), Izv. Akad. Nauk, USSR, ser. Matem. 52 (1988).  Zbl 0662.14017
10 Lieman, D.: Nonvanishing of L-series associated to cubic twists of elliptic curves, Jour Annals of Math. 40 (1994), 81-108.  MR 1289492 |  Zbl 0817.11029
11 Mai, L. and Murty, M.R.: A note on quadratric twists of an elliptic curve, Elliptic curves and related topics, Ed. H. Kisilevsky and M. R. Murty, Amer. Math. Soc. [CRM Proceedings and Lecture Notes] (1994), 121-124.  MR 1260959 |  Zbl 0806.14025
12 Murty, M.R. and Murty, V.K.: Mean values of derivatives of modular L-series, Annals of Math. 133 (1991) 447-475.  MR 1109350 |  Zbl 0745.11032
13 Ono, K.: Euler's concordant forms, Acta. Arith., to appear.
Article |  Zbl 0863.11038
14 Silverman, J.: The arithmetic of elliptic curves, Springer-Verlag, New York, 1986.  MR 817210 |  Zbl 0585.14026
15 Shimura, G.: On modular forms of half-integral weight, Annals of Math. 97 (1973), 440-481.  MR 332663 |  Zbl 0266.10022
16 Stewart, C.L. and Top, J.: On ranks of twists of elliptic curves and power-free values of binary forms, preprint.  Zbl 0857.11026
17 Tunnell, J.: A classical Diophantine problem and modular forms of weight 3/2, Inventiones Math. 72 (1983), 323-334.  MR 700775 |  Zbl 0515.10013
18 Vignéras, M.-F.: Facteurs gamma et equations fonctionelles, Springer Lect. in Math. 627 (1977), 79-103.  MR 485739 |  Zbl 0373.10027
19 Waldspurger, J.L.: Sur les coefficients de Fourier des formes modulaires de poids demi-entier, J. Math. Pures et Appl. 60 (1981), 375-484.  MR 646366 |  Zbl 0431.10015
20 Wiles, A.: Modular elliptic curves and Fermat's Last Theorem, Ann. Math. 141(3) (1995), 443-551.  MR 1333035 |  Zbl 0823.11029
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