3 papers
math.CO2025
Finding systems of functional equations for Andrews-Gordon type series
Yalçın Can Kılıç, Kağan Kurşungöz
We develop a search algorithm for systems of -difference equations satisfied by Andrews-Gordon type double series. We then couple the search algorithm with Euler's algorithm for…
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.CO2018
Andrews-Gordon Type Series for Capparelli's and Göllnitz-Gordon Identities
Kağan Kurşungöz
We construct Andrews-Gordon type evidently positive series as generating functions for the partitions satisfying the difference conditions imposed by Capparelli's identities and Gö…