The even parity Goldfeld conjecture: Congruent number elliptic curves
نویسندگان
چکیده
In 1979 Goldfeld conjectured: 50% of the quadratic twists an elliptic curve defined over rationals have analytic rank zero. this expository article we present a few recent developments towards conjecture, especially its first instance - congruent number curves.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2022
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2021.05.001