2 problems

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Bergeron's conjecture on Gaussian polynomial coefficient-wise inequalities
Bergeron's conjecture. If $1\leq a<b<c<d$ are integers with $ad=bc$ , then
Conjectureopencombinatorial-inequalities q-binomial-coefficientsarXiv posted 2 days ago
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Tan and Zeng's convex-hull conjecture for projected-volume vectors
Tan and Zeng's conjecture.
Conjectureopencombinatorial-inequalities convex-geometry projected-volumesarXiv posted 2 days ago