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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the conjecture of Birch and Swinnerton-Dyer
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by Cristian D. Gonzalez-Avilés PDF
Trans. Amer. Math. Soc. 349 (1997), 4181-4200 Request permission

Abstract:

In this paper we complete Rubin’s partial verification of the conjecture for a large class of elliptic curves with complex multiplication by ${\mathbb {Q}}(\sqrt {-7})$.
References
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Additional Information
  • Cristian D. Gonzalez-Avilés
  • Affiliation: Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
  • Email: cgonzale@abello.dic.uchile.cl
  • Received by editor(s): May 19, 1995
  • Received by editor(s) in revised form: March 6, 1996
  • Additional Notes: Supported by Fondecyt, proyecto no. 1950543.

  • Dedicated: A mis padres
  • © Copyright 1997 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 349 (1997), 4181-4200
  • MSC (1991): Primary 11G40, 11G05
  • DOI: https://doi.org/10.1090/S0002-9947-97-01762-5
  • MathSciNet review: 1390036