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math.CO2022
On the positivity of infinite products connected to partitions with even parts below odd parts and copartitions
Hannah E. Burson, Dennis Eichhorn
In this paper, we give a combinatorial proof of a positivity result of Chern related to Andrews's -type partitions. This combinatorial proof comes after reframing C…
math.NT2022
On the parity of the number of -copartitions of
Hannah E. Burson, Dennis Eichhorn
We continue the study of the -copartition function , which arose as a combinatorial generalization of Andrews' partitions with even parts below odd…