2 papers
math.NT2025
Overpartitions with parts separated by parity
Kathrin Bringmann, Catherine Cossaboom, William Craig
In this paper, we generalize Andrews' partitions separated by parity to overpartitions in two ways. We investigate the generating functions for 16 overpartition families whose part…
math.NT2023
Asymptotics for -fold partition diamonds and related infinite products
Kathrin Bringmann, William Craig, Joshua Males
We prove an asymptotic formula for the number of -fold partition diamonds of and their Schmidt-type counterparts. In order to do so, we study the asymptotic behavior of cert…