A bijection for partitions simultaneously s-regular and t-distinct - Keith, William J. (Zenodo, 2023)
In this note a bijection is constructed between the set of partitions of $n$ simultaneously $s$-regular and $t$-distinct, and those simultaneously $t$-regular and $s$-distinct. Some implications of the map are discussed. As a generalized version of Glaisher's bijection, the map may be widely useful in other partition combinatorics. A previous conjecture concerning iterations of Glaisher's bijection is given a counterexample.
Keywords: cc-by-4.0