A lower bound result for the central L-values of elliptic curves

JOURNAL OF NUMBER THEORY

卷:207

Article

Zhai, Shuai¹ 

[1] Univ Cambridge, Dept Pure Math & Math Stat, Ctr Math Sci, Cambridge CB3 0WB, England

关键词: Elliptic curves;    L-values;    Lower bound;   

DOI  :  10.1016/j.jnt.2019.07.015

来源: Elsevier

【 摘 要 】

In the present paper, we prove a stronger lower bound for the 2-adic valuation of the algebraic part of the central value of the complex L-series for the family of certain quadratic twists of elliptic curves with analytic rank zero and non-trivial rational 2-torsion. (C) 2019 Published by Elsevier Inc.

【 授权许可】

Free