Year: 2026
Type: preprint
Abstract: We first study the part size statistic in cylindric partitions, listing some specializations of a crude but general formula. Then, we establish bijections between ordinary partitions and cylindric partitions of small profiles with additional restrictions. Lastly, we extend earlier formulas for generating functions of cylindric partitions into distinct parts and functional equations of unrestricted cylindric partition generating functions, involving the part size statistic.
Source: arXiv (Cornell University)
Authors: Kurşungöz, Kağan, Seyrek, Halime Ömrüuzun
Institution: Biruni University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214907817