Proves the sharp constants for the ratio of ℓ_p to ℓ_2 norms over the zero-sum hyperplane in dimensions d ≥ 4 for all p > 0.
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A new tight inequality for l_p norms in finite-dimensional spaces is conjectured, proven for three dimensions, and numerically confirmed up to 200 dimensions with links to quantum entropy problems.
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Proof of the Holevo--Utkin conjecture on sharp $\ell_p$ norms for zero-sum vectors
Proves the sharp constants for the ratio of ℓ_p to ℓ_2 norms over the zero-sum hyperplane in dimensions d ≥ 4 for all p > 0.
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A conjecture on a tight norm inequality in the finite-dimensional l_p
A new tight inequality for l_p norms in finite-dimensional spaces is conjectured, proven for three dimensions, and numerically confirmed up to 200 dimensions with links to quantum entropy problems.