ROGERS--RAMANUJAN TYPE IDENTITIES AND THREE-LINE ARRAYS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 19

Volume : 20 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2024.2003.7
Author :
V. Gupta (School of Mathematics, Thapar Institute of Engineering and Technology, Patiala - 147004, Punjab, INDIA)
M. Rana (School of Mathematics, Thapar Institute of Engineering and Technology, Patiala - 147004, Punjab, INDIA)

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.

Keywords and Phrases

Rogers--Ramanujan type identities, (n+t)--color overpartitions, three-line arrays.

A.M.S. subject classification

05A17, 19, 11P81, 84.

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