Proves that the minimum and maximum of ||x||_p / ||x||_2 over non-zero zero-sum x in R^d equal the stated closed-form expressions for all d ≥ 4.
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Proof of the Holevo-Utkin conjecture on sharp $\ell_p$ norms for zero-sum vectors
Proves that the minimum and maximum of ||x||_p / ||x||_2 over non-zero zero-sum x in R^d equal the stated closed-form expressions for all d ≥ 4.