【摘 要】
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It is conjecture that all positive integers congruent to 5, 6, 7 modulo 8 are congruent numbers and 100% of them are associated with nontrivial Heegner points. In this talk, we sketch that there are a
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It is conjecture that all positive integers congruent to 5, 6, 7 modulo 8 are congruent numbers and 100% of them are associated with nontrivial Heegner points. In this talk, we sketch that there are at least 50% of them have non-trivial associated Heegner points and therefore are congruent numbers. This is about horizontal quadratic twists and is based on our joint work with Xinyi Yuan and Shouwu Zhang, and also recent work of Smith.
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