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arXiv · 2104.06732

The even parity Goldfeld conjecture: congruent number elliptic curves

Ashay Burungale·Ye Tian
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Abstract

In 1979 Goldfeld conjectured: 50\% of the quadratic twists of an elliptic curve defined over the rationals have analytic rank zero. In this expository article we present a few recent developments towards the conjecture, especially its first instance - the congruent number elliptic curves.

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Ashay Burungale, Ye Tian. 2021-06-17. The even parity Goldfeld conjecture: congruent number elliptic curves. https://arxiv.org/abs/2104.06732

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