11 citations · 50 across the 20 of their papers we have counts for
4 papers · 1 filter
Ramanujan sums and rectangular power sums
John Shareshian, Sheila Sundaram
For a fixed nonnegative integer and positive integer , we investigate the symmetric function \[\sum_{d|n} \left(c_d(\tfrac{n}{d})\right)^u p_d^{\tfrac{n}{d}},\] where …
Moments of Colored Permutation Statistics on Conjugacy Classes
Jesse Campion Loth, Michael Levet, Kevin Liu +2
In this paper, we consider the moments of statistics on conjugacy classes of the colored permutation groups . We first show that…
Topology of Cut Complexes of Graphs
Margaret Bayer, Mark Denker, Marija Jelić Milutinović +3
We define the -cut complex of a graph with vertex set to be the simplicial complex whose facets are the complements of sets of size in inducing disconnecte…
Permutation Statistics in Conjugacy Classes of the Symmetric Group
Jesse Campion Loth, Michael Levet, Kevin Liu +3
We introduce the notion of a weighted inversion statistic on the symmetric group, and examine its distribution on each conjugacy class. Our work generalizes the study of several co…