Partition identities with mixed mock modular forms

DOI10.1016/j.jnt.2015.06.022zbMath1328.11103OpenAlexW1455878772MaRDI QIDQ495306

George E. Andrews, Stephen P. Hill

Publication date: 9 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.022

zbMATH Keywords

partitionsmock theta functionsmixed mock modular forms

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Holomorphic modular forms of integral weight (11F11) Elementary theory of partitions (11P81)

Cites Work

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• On the distribution of the \textsf{spt}-crank
• A partition identity and the universal mock theta function \(g_2\)
• A generalization of the Rogers-Ramanujan identities for all moduli
• Multiple series Rogers-Ramanujan type identities
• Partitions with initial repetitions
• Concave and convex compositions
• Modularity of the concave composition generating function
• Partition identities
• Partitions with Early Conditions
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• The Fifth and Seventh Order Mock Theta Functions
• On the general Rogers-Ramanujan theorem
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• Partition theorems related to the Rogers-Ramanujan identities
• Some new partition theorems
• A Generalization of the Gollnitz-Gordon Partition Theorems
• On Partition Functions Related to Schur's Second Partition Theorem
• Partition Identities--From Euler to the Present
• A General Theorem on Partitions with Difference Conditions

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