Visibility and the Birch and Swinnerton-Dyer Conjecture for Analytic Rank One
نویسندگان
چکیده
منابع مشابه
Visibility and the Birch and Swinnerton-Dyer conjecture for analytic rank one
Let E be an optimal elliptic curve over Q of conductor N having analytic rank one, i.e., such that the L-function LE(s) of E vanishes to order one at s = 1. Let K be a quadratic imaginary field in which all the primes dividing N split and such that the L-function of E over K vanishes to order one at s = 1. Suppose there is another optimal elliptic curve over Q of the same conductor N whose Mord...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2009
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnp036