Another SPT crank for the number of smallest parts in overpartitions with even smallest part
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Publication:479586
DOI10.1016/j.jnt.2014.09.005zbMath1386.11120OpenAlexW1989578388MaRDI QIDQ479586
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
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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