# Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication.

Inventiones mathematicae (1987)

- Volume: 89, page 527-560
- ISSN: 0020-9910; 1432-1297/e

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top## How to cite

topRubin, K.. "Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication.." Inventiones mathematicae 89 (1987): 527-560. <http://eudml.org/doc/143493>.

@article{Rubin1987,

author = {Rubin, K.},

journal = {Inventiones mathematicae},

keywords = {finite Tate-Shafarevich group; elliptic curves; evidence for the truth of the Birch and Swinnerton-Dyer conjecture; ideal class annihilators},

pages = {527-560},

title = {Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication.},

url = {http://eudml.org/doc/143493},

volume = {89},

year = {1987},

}

TY - JOUR

AU - Rubin, K.

TI - Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication.

JO - Inventiones mathematicae

PY - 1987

VL - 89

SP - 527

EP - 560

KW - finite Tate-Shafarevich group; elliptic curves; evidence for the truth of the Birch and Swinnerton-Dyer conjecture; ideal class annihilators

UR - http://eudml.org/doc/143493

ER -

## Citations in EuDML Documents

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- Keqin Feng, Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture
- Abderrahmane Nitaj, Invariants des courbes de Frey-Hellegouarch et grands groupes de Tate-Shafarevich
- John Coates, On $p$-adic $L$-functions
- Fred Diamond, Matthias Flach, Li Guo, The Tamagawa number conjecture of adjoint motives of modular forms
- Bernadette Perrin-Riou, Travaux de Kolyvagin et Rubin
- Pierre Colmez, La conjecture de Birch et Swinnerton-Dyer $\mathbf{p}$-adique

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