Partitions with unique largest part and their generating functions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911003596292096 |
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| author | Kaur, H Rana, M |
| author_facet | Kaur, H Rana, M |
| contents | The paper introduce a new type of partitions where the largest part appears exactly once, and the remaining parts constitute a partition of that largest part. We derive the generating function associated with these partitions and subsequently explore several variations, providing the corresponding generating functions for each variant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11447 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Partitions with unique largest part and their generating functions Kaur, H Rana, M Combinatorics Number Theory 05A17, 11P81, 11P84 The paper introduce a new type of partitions where the largest part appears exactly once, and the remaining parts constitute a partition of that largest part. We derive the generating function associated with these partitions and subsequently explore several variations, providing the corresponding generating functions for each variant. |
| title | Partitions with unique largest part and their generating functions |
| topic | Combinatorics Number Theory 05A17, 11P81, 11P84 |
| url | https://arxiv.org/abs/2506.11447 |