An inequality between finite analogues of rank and crank moments

DOI10.1142/S1793042120400217zbMath1467.11086arXiv1908.08660MaRDI QIDQ5857392

Bibekananda Maji, Pramod Eyyunni, Garima Sood

Publication date: 1 April 2021

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

Full work available at URL: https://arxiv.org/abs/1908.08660

zbMATH Keywords

partitionssmallest parts functionsymmetrized momentsmoments inequalityfinite analogues

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Related Items

Generalization of five \(q\)-series identities of Ramanujan and unexplored weighted partition identities ⋮ Untrodden pathways in the theory of the restricted partition function \(p(n,N)\)

Cites Work

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• Higher order spt-functions
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Relations between the ranks and cranks of partitions
• Mappings and symmetries of partitions
• Partition implications of a three-parameter \(q\)-series identity
• Untrodden pathways in the theory of the restricted partition function \(p(n,N)\)
• The number of smallest parts in the partitions of n
• CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Asymptotics for rank and crank moments
• Inequalities between ranks and cranks
• Partition Statistics and Quasiharmonic Maass Forms
• Some Properties of Partitions

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