Partitions with unique largest part and their generating functions

The paper introduces a new type of partition where the largest part appears only once, and the remaining parts together form a partition of that largest part. We also derive the generating function for these partitions, a variation of it. Received: 10 June 2026 | Revised: 02 August 2026 | Accepted: 07 September 2026

Authors

M Rana
Harjot Kaur (ORCID: https://orcid.org/0000-0002-8659-7092)

Publication Details

Journal: Journal of Algebra Combinatorics Discrete Structures and Applications
Published: 2026-10-18
DOI: https://doi.org/10.13069/jacodesmath.v14i1.459
Primary Topic: Advanced Mathematical Identities
Type: article
Field-Weighted Citation Impact: 0.00

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article

Partitions with unique largest part and their generating functions

M Rana, Harjot Kaur

Oct 18, 2026

Journal of Algebra Combinatorics Discrete Structures and Applications

Advanced Mathematical Identities

article

Partitions with unique largest part and their generating functions

M Rana, Harjot Kaur

October 18, 2026article en

Abstract

Journal of Algebra Combinatorics Discrete Structures and ApplicationsVol. 14(1)

Openalex Percentile: Top 95%

Advanced Mathematical Identities

DOI Open Access PDF OpenAlex

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Partitions with unique largest part and their generating functions — M Rana, Harjot Kaur · Journal of Algebra Combinatorics Discrete Structures and Applications (2026) | TGRS Research Map | TGRS