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- W4384388160 abstract "Let $sigma$ be a permutation on $n$ letters. We say that a permutation $tau$ is an even (resp. odd) $k$th root of $sigma$ if $tau^k=sigma$ and $tau$ is an even (resp. odd) permutation. In this article, we obtain generating functions for the number of even and odd $k$th roots of permutations. Our result implies know generating functions of Moser and Wyman and also some generating functions for sequences in The On-line Encyclopedia of Integer Sequences (OEIS)." @default.
- W4384388160 created "2023-07-15" @default.
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- W4384388160 date "2019-07-01" @default.
- W4384388160 modified "2023-09-27" @default.
- W4384388160 title "On the number of even roots of permutations" @default.
- W4384388160 doi "https://doi.org/10.48550/arxiv.1907.00548" @default.
- W4384388160 hasPublicationYear "2019" @default.
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