Combinatorial constructions of generating functions of cylindric partitions with small profiles into unrestricted or distinct parts
In this paper, cylindric partitions into profiles c = (1, 1) and c = (2, 0) are con-sidered. 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 cyli...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Australian National University
2023
|
| Online Access: | View Fulltext in Publisher View in Scopus |
| Summary: | In this paper, cylindric partitions into profiles c = (1, 1) and c = (2, 0) are con-sidered. 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. © 2023, Australian National University. All rights reserved. |
|---|---|
| ISBN: | 10778926 (ISSN) |
| DOI: | 10.37236/11287 |