Multi-partition analogue of \(q\)-binomial coefficients

DOI10.1142/s1793042124500659MaRDI QIDQ6554584

Myungjun Yu, Hayan Nam, Byungchan Kim

Publication date: 12 June 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

partitionscolor partitionmulti-Gaussian polynomial

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Elementary theory of partitions (11P81)

Cites Work

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• An overpartition analogue of the \(q\)-binomial coefficients
• Hybrid proofs of the \(q\)-binomial theorem and other identities
• An overpartition analogue of \(q\)-binomial coefficients. II: Combinatorial proofs and \((q,t)\)-log concavity
• Unimodality of Gaussian coefficients: A constructive proof
• Overpartitions with bounded part differences
• Finite Rogers-Ramanujan type identities
• An overpartition analogue of partitions with bounded differences between largest and smallest parts
• Polynomial identities implying Capparelli's partition theorems
• Overpartitions
• q -Trinomial identities

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