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arXiv · 2609.36910

Part Size Count in Cylindric Partitions and Bijections for Small Profiles

Kağan Kurşungöz·Halime Ömrüuzun Seyrek
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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.

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Kağan Kurşungöz, Halime Ömrüuzun Seyrek. 2026-09-29. Part Size Count in Cylindric Partitions and Bijections for Small Profiles. https://arxiv.org/abs/2609.36910

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