An interesting \(q\)-series related to the 4th symmetrized rank function

DOI10.1016/J.DISC.2018.07.009zbMath1395.05027arXiv1310.5282OpenAlexW1607323097MaRDI QIDQ1783606

Alexander E. Patkowski

Publication date: 21 September 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5282

zbMATH Keywords

partitions\(q\)-seriessmallest parts function

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30)

Related Items (1)

A partition identity connected to the second rank moment

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
• Umbral calculus, Bailey chains, and pentagonal number theorems
• On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms
• A strange partition theorem related to the second Atkin–Garvan moment
• The number of smallest parts in the partitions of n
• Dyson’s crank of a partition
• Another smallest part function related to Andrews' spt function
• Partition Statistics and Quasiharmonic Maass Forms

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