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Ping-Zhi Yuan

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Preprint Aug 2026

A Multiplicative Fourier Proof of the Length-Four Index Conjecture

Let $C_n$ be a cyclic group of order $n$. We prove that if $(n,6)=1$, then every minimal zero-sum sequence of length four over $C_n$ has index one, thereby resolving the length-four index conjecture. After the gcd reduction, the nonunit case follows from the theorem of Shen-Xia-Li, and the remaining unit case is solved...

Hong-Jian Li, Ping-Zhi Yuan, Shijie Yuan et al. · 0 citations