Inequalities between rank moments of overpartitions

DOI10.1016/J.JNT.2013.05.005zbMath1295.05047OpenAlexW2061584148MaRDI QIDQ740902

Renrong Mao

Publication date: 9 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.05.005

zbMATH Keywords

inequalitiesoverpartitionsrank moments

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)

Related Items (7)

The first positive rank and crank moments for overpartitions ⋮ Asymptotics for rank moments of overpartitions ⋮ Inequalities for positive rank and crank moments of overpartitions ⋮ Inequalities between first moments of \(M_2\)-rank and crank for overpartitions ⋮ Inequalities between odd moments of rank and crank for overpartitions ⋮ On the non-negativity of the spt-crank for partitions without repeated odd parts ⋮ Higher order SPT functions for overpartitions, overpartitions with smallest part even, and partitions with smallest part even and without repeated odd parts

Cites Work

• Higher order spt-functions
• Rank and conjugation for a second Frobenius representation of an overpartition
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Rank and crank moments for overpartitions
• The odd moments of ranks and cranks
• Rank and conjugation for the Frobenius representation of an overpartition
• Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols
• CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK
• Overpartitions
• Asymptotics for rank and crank moments

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