A Birch and Swinnerton-Dyer conjecture for the Mazur-Tate circle pairing
نویسندگان
چکیده
منابع مشابه
A Birch and Swinnerton-dyer Conjecture for the Mazur-tate Circle Pairing
Let E be an elliptic curve over Q attached to a newform f of weight 2 on 00(N ), and let K be a real quadratic field in which all the primes dividing N are split. This paper relates the canonical R/Z-valued “circle pairing” on E(K ) defined by Mazur and Tate [MT1] to a period integral I ( f, K ) defined in terms of f and K . The resulting conjecture can be viewed as an analogue of the classical...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2004
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-04-12216-x