Scientists / Open questions

Manjul Bhargava

Number theory; arithmetic statistics

2014 Fields Medal

2 questions

Explicit evaluation of the local mass factors $\alpha_p$ for orders in quintic fields
The exact average size of the 2-Selmer set $\mathrm{Sel}_2(J^1)$ of locally soluble hyperelliptic curves over $\mathbb{Q}$

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