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math.CO2023
On integer partitions corresponding to numerical semigroups
Hannah E. Burson, Hayan Nam, Simone Sisneros-Thiry
Numerical semigroups are cofinite additive submonoids of the natural numbers. In 2011, Keith and Nath illustrated an injection from numerical semigroups to integer partitions. We e…
math.CO2019
Refined counting of core partitions into -distinct parts
Hannah E. Burson, Simone Sisneros-Thiry, Armin Straub
Using a combinatorial bijection with certain abaci diagrams, Nath and Sellers have enumerated -core partitions into distinct parts. We generalize their result in se…