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A3's power-polynomial section function conjecture for convex bodies
A3's conjecture. In any dimension, $K$ is an ellipsoid if and only if there exists some $m\in\mathbb N$ such that $A_K^m(\xi,t)$ is a polynomial in $t$ .
Conjectureopenconvex-geometry geometric-tomography section-functionsarXiv posted 2 days ago

A3's power-polynomial section function conjecture for convex bodies