Combinatorial constructions of generating functions of cylindric partitions with small profiles into unrestricted or distinct parts
The electronic journal of combinatorics, Tome 30 (2023) no. 2
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In this paper, cylindric partitions into profiles $c=(1,1)$ and $c=(2,0)$ are considered. The generating functions into unrestricted cylindric partitions and cylindric partitions into distinct parts with these profiles are constructed. The constructions are combinatorial and they connect the cylindric partitions with ordinary partitions.
DOI : 10.37236/11287
Classification : 05A17, 05A15, 11P84
Mots-clés : unrestricted cylindric partitions

Kağan Kurşungöz  1   ; Halime Ömrüuzun Seyrek  2

1 Sabanci University
2 Sabancı University
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     title = {Combinatorial constructions of generating functions of cylindric partitions with small profiles into unrestricted or distinct parts},
     journal = {The electronic journal of combinatorics},
     year = {2023},
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     number = {2},
     doi = {10.37236/11287},
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Kağan Kurşungöz; Halime Ömrüuzun Seyrek. Combinatorial constructions of generating functions of cylindric partitions with small profiles into unrestricted or distinct parts. The electronic journal of combinatorics, Tome 30 (2023) no. 2. doi: 10.37236/11287

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