Combinatorial Counterpart of Some q-Series in the light of Colour Partitions

Author(s)	Dr. Shaikh Fokor Uddin Ali Ahmed
Country	India
Abstract	Abstract: The n-Colour partition, introduced by Agarwal and Andrews [1] are extended to (n + t)–color partitions where the parts of size n can come in (n + t), t ? 0, different colors. In the study of partition theory, the q-series plays an important role. The q-series are integral part of partition identities and hence for deep combinatorial study of analytic partition identities, it is important to know the combinatorial counterpart of q-series first. In this paper, the combinatorial counterpart of some analytic q-series has been given in the light of Colour Partitions
Keywords	Keywords: q-series, n-Colour partition, (n + t)–color partitions, Generating functions, Partition functions, Combinatorial interpretations, etc.
Field	Mathematics
Published In	Volume 6, Issue 4, July-August 2025
Published On	2025-08-31
DOI	https://doi.org/10.63363/aijfr.2025.v06i04.1155
Short DOI	https://doi.org/g9z75x

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