Let E/Q be an elliptic curve, and let L(E/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/Q, 1) = 0 =⇒ E(Q) finite.
Elliptic curves and special values of L-series / M. Bertolini. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - 48:1-2(1997), pp. 31-39.
Elliptic curves and special values of L-series
M. Bertolini
1997
Abstract
Let E/Q be an elliptic curve, and let L(E/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/Q, 1) = 0 =⇒ E(Q) finite.
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