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arXiv:2404.05860v2 Announce Type: replace-cross
Abstract: Given $\pi \in S_n$, let $Z_{n,k}(\pi)=\sum_{1\leq i_1<\dots<\dots<\pi_{i_k}\}$ denote the number of increasing subsequences of length $k$. Consider the problem of studing the distribution of $Z_{n,k}$ for general $k$ and $n$. For the 2nd moment, Ross Pinsky made a combinatorial study by considering a pair of subsequences $i^{(r)}_1<\dots<\dots
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