2-colored Rogers-Ramanujan partition identities
Abstract
In this paper, we combined two types of partitions and introduced 2-colored Rogers-Ramanujan partitions. By finding some functional equations and using a constructive method, some identities have been found. Some Overpartition identities coincide with our findings. A correspondence between colored partitions and overpartitions is provided.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- 10.48550/arXiv.2203.15378
- arXiv:
- arXiv:2203.15378
- Bibcode:
- 2022arXiv220315378Z
- Keywords:
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- Mathematics - Combinatorics