A BIJECTION FOR PARTITIONS SIMULTANEOUSLY s-REGULAR AND t-DISTINCT
Document Type
Article
Publication Date
1-1-2023
Abstract
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.
Publication Title
Integers
Recommended Citation
Keith, W.
(2023).
A BIJECTION FOR PARTITIONS SIMULTANEOUSLY s-REGULAR AND t-DISTINCT.
Integers,
23.
http://doi.org/10.5281/zenodo.7569246
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/17142