Quasimodularity of the kth residual cranks

DOI10.1142/S1793042121500019zbMath1466.11071arXiv2005.01919OpenAlexW3042969561MaRDI QIDQ5857371

Aleksander Simonič, Thomas Morrill

Publication date: 1 April 2021

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

Full work available at URL: https://arxiv.org/abs/2005.01919

zbMATH Keywords

moment inequalitiesoverpartitionsquasimodular formsoverpartition crank

Mathematics Subject Classification ID

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

Cites Work

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• Rank and crank moments for overpartitions
• Partitions weighted by the parity of the crank
• Relations between the ranks and cranks of partitions
• The odd moments of ranks and cranks
• Mappings and symmetries of partitions
• Two families of buffered Frobenius representations of overpartitions
• Inequalities for positive rank and crank moments of overpartitions
• Inequalities for the dth residual crank moments of overpartitions
• Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Overpartitions
• Rank and crank moments for partitions without repeated odd parts
• Modular Forms

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