3 papers
math.CO2021
Copartitions
Hannah E. Burson, Dennis Eichhorn
We develop the theory of copartitions, which are a generalization of partitions with connections to many classical topics in partition theory, including Rogers-Ramanujan partitions…
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…
math.NT2018
A bijective proof of a false theta function identity from Ramanujan's lost notebook
Hannah Burson
In his lost notebook, Ramanujan listed 5 identities related to the false theta function A new combinatorial interpretation and proof…