On partitions with bounded multiplicity restrictions on even parts and with the largest part being odd
Year: 2026
Type: preprint
Abstract: Andrews and El Bachraoui (\textit{RACSAM} \textbf{119}, \textit{Article Number 4 (2025)}) established identities relating $4$-regular partitions to partitions with distinct even parts whose largest part is odd. As an extension to their work, in this paper we define partitions of a positive integer $n$ with bounded multiplicity restriction on even parts and whose largest part is odd. We prove some identities relating our partition functions and $2r$-regular partition function, and show that identities due to Andrews and El Bachraoui follow as particular cases.
Source: arXiv (Cornell University)
Authors: Bardhan, Gaurab, Saikia, Nipen
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225274532
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