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- W3100952445 abstract "A problem in zero-sum theory is to determine all pairs $(k,n)$ for which every minimal zero-sum sequence of length $k$ modulo $n$ has index $1$. While all other cases have been solved more than a decade ago, the case when $k$ equals $4$ and $n$ is coprime to $6$ remains open. Precisely, The Index Conjecture in this subject states that if $n$ is coprime to $6$ then every minimal zero-sum sequence of length $4$ modulo $n$ has index $1$. In this paper, we prove an equivalent version of this conjecture for all $n>N$ for some absolute constant $N$." @default.
- W3100952445 created "2020-11-23" @default.
- W3100952445 creator A5082960063 @default.
- W3100952445 date "2020-11-18" @default.
- W3100952445 modified "2023-09-26" @default.
- W3100952445 title "Solution to the index conjecture in zero-sum theory" @default.
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- W3100952445 doi "https://doi.org/10.48550/arxiv.2011.09521" @default.
- W3100952445 hasPublicationYear "2020" @default.
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