ROGERS--RAMANUJAN TYPE IDENTITIES AND THREE-LINE ARRAYS

In this paper, we present the combinatorial interpretations of many Rogers--Ramanujan type identities using three-line arrays. Bijections between restricted three-line arrays and restricted overpartitions are given, and as a consequence, we get fourteen combinatorial identities.

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Publication Details

Journal
South East Asian J of Mathematics and Mathematical Sciences
Published
2024-12-30
DOI
https://doi.org/10.56827/seajmms.2024.2003.7
Primary Topic
Advanced Mathematical Identities
Type
article
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article

ROGERS--RAMANUJAN TYPE IDENTITIES AND THREE-LINE ARRAYS

V. Gupta, Meenakshi Rana
South East Asian J of Mathematics and Mathematical Sciences
Advanced Mathematical Identities
article

ROGERS--RAMANUJAN TYPE IDENTITIES AND THREE-LINE ARRAYS

V. Gupta, Meenakshi Rana
article en

Abstract

In this paper, we present the combinatorial interpretations of many Rogers--Ramanujan type identities using three-line arrays. Bijections between restricted three-line arrays and restricted overpartitions are given, and as a consequence, we get fourteen combinatorial identities.

South East Asian J of Mathematics and Mathematical SciencesVol. 20(03)
Thapar Institute of Engineering & Technology (IN)
Openalex Percentile: Top 55%
Advanced Mathematical Identities
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ROGERS--RAMANUJAN TYPE IDENTITIES AND THREE-LINE ARRAYS — V. Gupta, Meenakshi Rana · South East Asian J of Mathematics and Mathematical Sciences (2024) | TGRS Research Map | TGRS