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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.10133 |
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| _version_ | 1866917005102153728 |
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| author | Johnson, Anjelin Mariya Fathima, S. N. |
| author_facet | Johnson, Anjelin Mariya Fathima, S. N. |
| contents | Recently, Kaur and Rana introduced the partition function denoted by $ρ(n)$, where the largest part $λ$ appears exactly once, and the remaining parts constitute a partition of $λ$. In this paper, we establish new generating functions for certain variants of $ρ(n)$. Further, we obtain a linear recurrence relation for our new generating function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10133 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On recent Partition function of Kaur and Rana Johnson, Anjelin Mariya Fathima, S. N. Combinatorics 05A15, 11P83 Recently, Kaur and Rana introduced the partition function denoted by $ρ(n)$, where the largest part $λ$ appears exactly once, and the remaining parts constitute a partition of $λ$. In this paper, we establish new generating functions for certain variants of $ρ(n)$. Further, we obtain a linear recurrence relation for our new generating function. |
| title | On recent Partition function of Kaur and Rana |
| topic | Combinatorics 05A15, 11P83 |
| url | https://arxiv.org/abs/2510.10133 |