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Bhargava's conjecture on the proportion of locally soluble plane cubics violating the Hasse principle
Let plane cubic curves over $\mathbb{Z}$ be ordered by height, and consider those that are everywhere locally soluble. Bhargava's conjecture. The precise proportion of such plane c…
Conjectureopenarithmetic-statistics hasse-principle plane-cubicsarXiv posted 2 days ago
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Exact proportion of plane cubics failing the Hasse principle
Exact-failure-proportion conjecture. For any $B$ ,
Conjectureopenarithmetic-statistics hasse-principle plane-cubicsarXiv posted 2 days ago

Bhargava's conjecture on the proportion of locally soluble plane cubics violating the Hasse principle