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    题名: Non-vanishing of central L-values of canonical CM elliptic curves with quadratic twists
    作者: Hung, Pin-Chi;Cheng, Yao
    日期: 2016-01-05
    上传时间: 2021-05-06 12:11:51 (UTC+8)
    摘要: The aim of this paper is to extend results of Rorlich, Villegas and Yang about the non-vanishing of central L-values of canonical characters of imaginary quadratic fields over the rationals. One of the new ingredients in our paper is the local computations at the place “2”. Therefore, we extend their non-vanishing results to include imaginary quadratic fields of even discriminant. As a consequence, we show that the rank of the Mordell–Weil groups of certain canonical CM elliptic curves are zero.
    關聯: Manuscripta Mathematica 150, p.293–335
    DOI: 10.1007/s00229-015-0812-0
    显示于类别:[數學學系暨研究所] 期刊論文

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