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.CO2024
Hook length biases for self-conjugate partitions and partitions with distinct odd parts
Catherine Cossaboom
We establish a hook length bias between self-conjugate partitions and partitions of distinct odd parts, demonstrating that there are more hooks of fixed length among sel…