Arithmetic properties of $(\ell,m)$-regular colored partitions
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915291801321472 |
|---|---|
| author | N., Yashas Shivashankar, C. Chandankumar, S. |
| author_facet | N., Yashas Shivashankar, C. Chandankumar, S. |
| contents | Let $b^{k}_{\ell,m}(n)$ denotes the number of $k-$colored partitions of $n$ into parts that are not multiples of $\ell$ or $m$. We establish several congruence relations for $b_{\ell,m}(n)$. For instance, for any nonnegative integer $n$ $$b^{2}_{4,5}(8n+7) \equiv 0 \pmod{40}.$$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12270 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arithmetic properties of $(\ell,m)$-regular colored partitions N., Yashas Shivashankar, C. Chandankumar, S. Combinatorics Number Theory 11P83, 05A15, 05A17 Let $b^{k}_{\ell,m}(n)$ denotes the number of $k-$colored partitions of $n$ into parts that are not multiples of $\ell$ or $m$. We establish several congruence relations for $b_{\ell,m}(n)$. For instance, for any nonnegative integer $n$ $$b^{2}_{4,5}(8n+7) \equiv 0 \pmod{40}.$$ |
| title | Arithmetic properties of $(\ell,m)$-regular colored partitions |
| topic | Combinatorics Number Theory 11P83, 05A15, 05A17 |
| url | https://arxiv.org/abs/2505.12270 |