Combinatorics of Regular Partitions

Hiroshi Mizukawa, Hiro-Fumi Yamada

Published 2014-08-21Version 1

Two partition identities are given, which are concerned with $r$-regular partitions and $r$-class regular partitions. Together with some discussions on the Hall-Littlewood and the Kostka-Foulkes polynomials, these formulas lead to the computation of the $r$-regular character table of the symmetric group.