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- W4385967907 abstract "Gessel's famous Bessel determinant formula gives the generating function of the number of permutations without increasing subsequences of a given length. Ekhad and Zeilberger proposed the challenge of finding a suitable generalization for permutations of multisets in which all multiplicities are equal, that is, to count words of length $rn$ from an alphabet consisting of $n$ letters in which each letter appears exactly $r$ times and which have no increasing subsequences of length $d$. In this paper we present such a generating function expressible as a multiple integral of the product of a Gessel-type Toeplitz determinant with the exponentiated cycle index polynomial of the symmetric group on $r$ elements." @default.
- W4385967907 created "2023-08-19" @default.
- W4385967907 creator A5038972470 @default.
- W4385967907 date "2015-05-06" @default.
- W4385967907 modified "2023-09-23" @default.
- W4385967907 title "On longest increasing subsequences in words in which all multiplicities are equal" @default.
- W4385967907 doi "https://doi.org/10.48550/arxiv.1505.01389" @default.
- W4385967907 hasPublicationYear "2015" @default.
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