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.NT2019
Hybrid Proofs of the -Binomial Theorem and other identities
Dennis Eichhorn, James Mc Laughlin, Andrew V. Sills
We give "hybrid" proofs of the -binomial theorem and other identities. The proofs are "hybrid" in the sense that we use partition arguments to prove a restricted version of the…
math.CO2018
A tiling proof of Euler's pentagnal number theorem and generalizations
Dennis Eichhorn, Hayan Nam, Jaebum Sohn
In two papers, Little and Sellers introduced an exciting new combinatorial method for proving partition identities which is not directly bijective. Instead, they consider various s…