ROGERS--RAMANUJAN TYPE IDENTITIES RELATED TO MODULI  $4k$ AND $4k+2$

V. Gupta; M. Rana

doi:https://doi.org/10.56827/JRSMMS.2026.1302.1

ROGERS--RAMANUJAN TYPE IDENTITIES RELATED TO MODULI $4k$ AND $4k+2$

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 13, Issue 2 Pages 01-12 June 30, 2026 15 downloads

Article overview

Abstract

In this paper, we provide the combinatorial interpretations of Rogers--Ramanujan type identities involving double sums series related to moduli $4k$ and $4k+2$ using $(n+t)$--color partitions.

Keywords and Phrases

$(n+t)$--color partitionscombinatorial interpretationsRogers--Ramanujan type identities.

AMS Subject Classification

05A17, 05A19, 11P81, 11P84.

Reference information

How to Cite

V. Gupta, M. Rana (2026). ROGERS--RAMANUJAN TYPE IDENTITIES RELATED TO MODULI $4k$ AND $4k+2$. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 13(2), 01-12.

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