Inequalities for positive rank and crank moments of overpartitions

DOI10.1142/S1793042114500717zbMath1318.11129WikidataQ120986654 ScholiaQ120986654MaRDI QIDQ2931754

Acadia Larsen, Alexa Rust, Holly Swisher

Publication date: 27 November 2014

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

zbMATH Keywords

partitionsmomentscrankrankoverpartitions

Mathematics Subject Classification ID

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

Related Items (9)

The first positive rank and crank moments for overpartitions ⋮ Higher order smallest parts functions and rank-Crank moment inequalities from Bailey pairs ⋮ Inequalities between first moments of \(M_2\)-rank and crank for overpartitions ⋮ Inequalities between odd moments of rank and crank for overpartitions ⋮ Small values of coefficients of a half Lerch sum ⋮ Inequalities for the dth residual crank moments of 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 ⋮ Quasimodularity of the kth residual cranks

Cites Work

• Higher order spt-functions
• Inequalities between rank moments of overpartitions
• Rank and conjugation for a second Frobenius representation of an overpartition
• Rank and crank moments for overpartitions
• The odd moments of ranks and cranks
• Rank and conjugation for the Frobenius representation of an overpartition
• Eulerian Polynomials: From Euler’s Time to the Present
• The number of smallest parts in the partitions of n
• Dyson’s crank of a partition
• Asymptotics for rank and crank moments
• Asymptotic inequalities for positive crank and rank moments

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