A mock theta function identity related to the partition rank modulo 3 and 9

DOI10.1142/S1793042120400254zbMath1478.11118MaRDI QIDQ5857387

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Publication date: 1 April 2021

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

zbMATH Keywords

mock theta functionsranks modulo 3ranks modulo 9ranks of partition

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (4)

A proof of Mao's conjecture on an identity of Beck's partition statistics ⋮ On cranks of partitions modulo 12 and 16 ⋮ New equalities and inequalities for the ranks and cranks of partitions ⋮ On three identities of Ramanujan

Cites Work

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• On some relations between the rank and the crank
• The ranks of partitions modulo 2
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• Cranks and dissections in Ramanujan's lost notebook
• The rank and crank of partitions modulo 3
• Eulerian series as modular forms
• The Crank of Partitions Mod 8, 9 and 10
• Some Properties of Partitions
• On the Ranks of Partitions Modulo 9
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Relations Between the Rank and the Crank Modulo 9
• On the Rank and the Crank Modulo 4 and 8
• Defect zero blocks for finite simple groups
• FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS
• Some Properties of Partitions
• Ramanujan's Lost Notebook

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