Another SPT crank for the number of smallest parts in overpartitions with even smallest part

DOI10.1016/j.jnt.2014.09.005zbMath1386.11120OpenAlexW1989578388MaRDI QIDQ479586

Chris Jennings-Shaffer

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.09.005

zbMATH Keywords

partitionscongruencesranksoverpartitionsBailey pairscrankssmallest parts function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (4)

Inequalities between first moments of \(M_2\)-rank and crank for overpartitions ⋮ On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's \(\omega\)(\(q\)) ⋮ Monotonicity properties for ranks of overpartitions ⋮ Generating functions and congruences for some partition functions related to mock theta functions

Cites Work

• Rank and conjugation for a second Frobenius representation of an overpartition
• Rank and crank moments for overpartitions
• \(M_2\)-rank differences 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
• The spt-crank for overpartitions
• M₂-rank differences for overpartitions
• RANK DIFFERENCES FOR OVERPARTITIONS
• The number of smallest parts in the partitions of n

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