Average rank of quadratic twists with a rational point of almost minimal height

نویسندگان

چکیده

Given a family of quadratic twists fixed elliptic curve defined over Q $\mathbb {Q}$ , we investigate the average rank in subfamily having non-torsion rational point almost minimal height. We show particular that analytic is greater than one.

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ژورنال

عنوان ژورنال: Bulletin of The London Mathematical Society

سال: 2022

ISSN: ['1469-2120', '0024-6093']

DOI: https://doi.org/10.1112/blms.12635