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

Nicole Arthaud

Compositio Mathematica (1978)

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

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Arthaud, 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

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  1. [1] N. Arthaud: On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication II (in preparation). 
  2. [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. [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. [4] J. Coates, A. Wiles: On the conjecture of Birch and Swinnerton-Dyer (to appear in Inventiones Mathematicae). Zbl0359.14009MR463176
  5. [5] S. Lang: Algebraic Number Theory, Addison-Wesley, 1970. Zbl0211.38404MR282947
  6. [6] G. Robert: Unités elliptiques. Bull. Soc. Math. France, Mémoire36, 1973. Zbl0314.12006MR469889
  7. [7] G. Shimura: Introduction to the arithmetic theory of automorphic functions. Pub. Math. Soc. Japan, 11, 1971. Zbl0221.10029MR314766

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