On a pair of three-colored (mod 10) partition identities
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912577027571712 |
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| author | Russell, Matthew C. |
| author_facet | Russell, Matthew C. |
| contents | We prove a pair of (mod 10) partition identities. The sum sides involve three-colored partitions into distinct parts, while the product sides are the generating functions for distinct partitions times the Rogers-Ramanujan products. Our proofs make heavy use of Maple to verify that functional equations are satisfied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07169 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a pair of three-colored (mod 10) partition identities Russell, Matthew C. Combinatorics Number Theory 05A17, 11P84 We prove a pair of (mod 10) partition identities. The sum sides involve three-colored partitions into distinct parts, while the product sides are the generating functions for distinct partitions times the Rogers-Ramanujan products. Our proofs make heavy use of Maple to verify that functional equations are satisfied. |
| title | On a pair of three-colored (mod 10) partition identities |
| topic | Combinatorics Number Theory 05A17, 11P84 |
| url | https://arxiv.org/abs/2509.07169 |