A finite analogue of a \(q\)-series identity of Bhoria, Eyyunni and Maji and its applications

DOI10.1016/J.DISC.2022.113224OpenAlexW4306856273MaRDI QIDQ2099470

Atul Dixit, Khushbu Patel

Publication date: 23 November 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.00044

zbMATH Keywords

partitionscrankranksmallest parts functionfinite analogues

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Cites Work

• Some further \(q\)-series identities related to divisor functions
• An identity for the divisor generating function arising from sorting theory
• The odd moments of ranks and cranks
• Generalization of five \(q\)-series identities of Ramanujan and unexplored weighted partition identities
• Partition implications of a three-parameter \(q\)-series identity
• Untrodden pathways in the theory of the restricted partition function \(p(n,N)\)
• On Uchimura’s Connection between Partitions and the Number of Divisors
• The number of smallest parts in the partitions of n
• The Finite Heine Transformation
• Self-conjugate vector partitions and the parity of the spt-function
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