Elliptic Curves
Survey Articles
- 1966: J.W.S. Cassels,
"Diophantine equations with special reference to elliptic curves"
J. Lond. Math. Soc. 41, 193-291 (1966).
- 1974: J. Tate,
The arithmetic of elliptic curves, Invent. Math. 23, 179-206 (1974).
- 1978: R. Stroeker,
"Aspects of elliptic curves. An introduction",
Nieuw Arch. Wiskunde, III. Ser. 26 (1978), 371-412.
- 1981: H. Kraft,
"Algebraische Kurven und diophantische Gleichungen"
Lebendige Zahlen. Fünf Exkursionen (Borho et al, eds.), 93-114
Birkhäuser 1981
- 1982: R. Lardon, "Courbes elliptiques";
A. Faisant, "La theorie de Kummer";
G. Philibert, "Fonctions modulaires et invariant modulaire";
M. Waldschmidt, "Courbes elliptiques et multiplication complexe".
- 1984: Ch. Scriba, "Zur Geschichte der Bestimmung rationaler Punkte
auf elliptischen Kurven: Das Problem von Beha-Eddin Amuli",
Ber. Sitz. Joachim Jungius-Ges. Wiss., Hamburg 1(1982/83), 52 S.
(1984).
- 1986: G. Frey,
"Some aspects of the theory of elliptic curves over number fields",
Expos. Math. 4 (1986), 35--66.
- 1986: H.G. Zimmer,
"Zur Arithmetik der elliptischen Kurven",
Ber. Math.-Stat. Sekt. Forschungsges. Joanneum 271, (1986)
- 1989: J. Silverman,
"Recent (and not so recent) developments in the arithmetic theory
of elliptic curves", Nieuw Arch. Wiskd. 7 (1989), 53-70.
- 1989: L. Washington,
"Number fields and elliptic curves"
Number theory and applications, Banff/Can. 1988, 245-278 (1989)
- 1990: D. Zagier, "Elliptische Kurven: Fortschritte und Anwendungen",
Jahresbericht DMV 92 (1990), 58-76.
- 1992: H. Cohen,
"Elliptic curves", in: `From number theory to physics',
Springer-Verlag, 212-237.
- 1993: B. Mazur,
"On the passage from local to global in number theory",
Bull. Amer. Math. Soc. 29, No.1, 14-50 (1993).
- 1995: N. Schappacher, R. Schoof,
dvi.gz file.
- 1995: J. Stillwell,
"Elliptic curves",
Amer. Math. Monthly 102, No.9, 831-837 (1995)
- 1997: C. Goldstein,
"Some applications of p-adic points of view to elliptic curves",
European Women
in Mathematics, 8th meeting, 77-97
- 1997: H.G. Zimmer,
"Basic
Algorithms for elliptic curves",
- 1999: A. Silverberg,
Open Questions in Arithmetic Algebraic Geometry (ps file)
Arithmetic Algebraic Geometry (Park City, UT, 1999),
AMS (2001), 83-142.
- 2002: K. Rubin, A. Silverberg,
Ranks of elliptic curves,
Bull. Am. Math. Soc., New Ser. 39, No.4, 455-474 (2002)