2 papers
math.CO2023
A Decomposition of Cylindric Partitions and Cylindric Partitions into Distinct Parts
Kağan Kurşungöz, Halime Ömrüuzun Seyrek
We show that cylindric partitions are in one-to-one correspondence with a pair which has an ordinary partition and a colored partition into distinct parts. Then, we show the genera…
math.CO2014
Bressoud Style Identities for Regular Partitions and Overpartitions
Kağan Kurşungöz
We construct a family of partition identities which contain the following identities: Rogers-Ramanujan-Gordon identities, Bressoud's even moduli generalization of them, and their c…