Elliptic curves and special values of L-series

• Autores: Massimo Bertolini
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 1-2, 1997, págs. 31-40
• Idioma: inglés
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• Resumen

  • Let $E/\mathbb{Q}$ be an elliptic curve, and let $L(E/\mathbb{Q}, s)$ be its Hasse-Weil $L$-series. In this paper, working under certain simplifying assumptions, we sketch a proof of the following result: $L(E/\mathbb{Q}, 1)\not= 0 \Longrightarrow E(\mathbb{Q})$ finite.