ROGERS--RAMANUJAN TYPE IDENTITIES AND THREE-LINE ARRAYS

V. Gupta; M. Rana

doi:https://doi.org/10.56827/SEAJMMS.2024.2003.7

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

Volume 20, Issue 3 Pages 81-102 December 30, 2024 148 downloads

Article overview

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 overpartitionsthree-line arrays.

AMS Subject Classification

05A17, 19, 11P81, 84.

Reference information

How to Cite

V. Gupta, M. Rana (2024). ROGERS--RAMANUJAN TYPE IDENTITIES AND THREE-LINE ARRAYS. South East Asian Journal of Mathematics and Mathematical Sciences, 20(3), 81-102.

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