# On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I

Compositio Mathematica (1978)

- Volume: 37, Issue: 2, page 209-232
- ISSN: 0010-437X

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topArthaud, Nicole. "On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I." Compositio Mathematica 37.2 (1978): 209-232. <http://eudml.org/doc/89380>.

@article{Arthaud1978,

author = {Arthaud, Nicole},

journal = {Compositio Mathematica},

keywords = {Class Field Theory; Elliptic Curve; Birch and Swinnerton-Dyer's Conjecture; Hasse-Weil Zeta Function; Imaginary Quadratic Field; Complex Multiplication; Hecke L-Function},

language = {eng},

number = {2},

pages = {209-232},

publisher = {Sijthoff et Noordhoff International Publishers},

title = {On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I},

url = {http://eudml.org/doc/89380},

volume = {37},

year = {1978},

}

TY - JOUR

AU - Arthaud, Nicole

TI - On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I

JO - Compositio Mathematica

PY - 1978

PB - Sijthoff et Noordhoff International Publishers

VL - 37

IS - 2

SP - 209

EP - 232

LA - eng

KW - Class Field Theory; Elliptic Curve; Birch and Swinnerton-Dyer's Conjecture; Hasse-Weil Zeta Function; Imaginary Quadratic Field; Complex Multiplication; Hecke L-Function

UR - http://eudml.org/doc/89380

ER -

## References

top- [1] N. Arthaud: On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication II (in preparation).
- [2] J. Coates: p-Adic L-functions and Iwasawa's theory (to appear in Proceedings of Durham symposium on algebraic number theory). Zbl0393.12027
- [3] J. Coates, A. Wiles: Kummer's criterion for Hurwitz numbers (to appear in Proceedings of International Conference on algebraic number theory, Kyoto, Japan, 1976). Zbl0369.12009
- [4] J. Coates, A. Wiles: On the conjecture of Birch and Swinnerton-Dyer (to appear in Inventiones Mathematicae). Zbl0359.14009MR463176
- [5] S. Lang: Algebraic Number Theory, Addison-Wesley, 1970. Zbl0211.38404MR282947
- [6] G. Robert: Unités elliptiques. Bull. Soc. Math. France, Mémoire36, 1973. Zbl0314.12006MR469889
- [7] G. Shimura: Introduction to the arithmetic theory of automorphic functions. Pub. Math. Soc. Japan, 11, 1971. Zbl0221.10029MR314766

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