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arXiv · 2609.27843

A proof of the Holmes-Holroyd-Ramirez cyclic-product conjecture

Paata Ivanisvili·Shengtong Zhang
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Abstract

We prove the cyclic-product conjecture of Holmes, Holroyd and Ramírez: among all circular arrangements of a decreasing positive sequence, the circular-symmetric ``greedy'' arrangement maximises every consecutive cyclic product sum $P_r$.

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Paata Ivanisvili, Shengtong Zhang. 2026-08-19. A proof of the Holmes-Holroyd-Ramirez cyclic-product conjecture. https://arxiv.org/abs/2609.27843

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