Journal article Open Access
A bijection for partitions simultaneously s-regular and t-distinct
Keith, William J.
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.
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- Publication date:
- January 25, 2023
- DOI:
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- License (for files):
- Creative Commons Attribution 4.0 International