A note on the number of $k$-roots in $S_n$

Abstract

The number of $k$-roots of an arbitrary permutation is expressed as an alternating sum of $\mu$-unimodal $k$-roots of the identity permutation.

Version to appear in Séminaire Lotharingien de Combinatoire

References in corpus (1)

• Power sum expansion of chromatic quasisymmetric functions

Cited by in corpus (3)

• Gamma-positivity in combinatorics and geometry
• On the number of even roots of permutations
• Involutions and the Gelfand character