2-colored Rogers-Ramanujan partition identities

2022/03/29 by Mohammad Zadeh Dabbagh, Dabbagh, Mohammad Zadeh
Chemical Engineering · Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Thermodynamic properties of mixtures

paper · pdf · doi:10.48550/arxiv.2203.15378

openalex publication_date 2022/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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