RANK GENERATING FUNCTIONS FOR ODD-BALANCED UNIMODAL SEQUENCES, QUANTUM JACOBI FORMS, AND MOCK JACOBI FORMS

DOI10.1017/S1446788719000405zbMath1446.05008OpenAlexW2999649323MaRDI QIDQ5118914

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Publication date: 27 August 2020

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788719000405

zbMATH Keywords

partitionsgenerating functionsJacobi formsmock modular formsquantum modular formsstrongly unimodal sequences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items (2)

Periodic partial theta functions and \(q\)-hypergeometric knot multisums as quantum Jacobi forms ⋮ Quantum Jacobi forms and sums of tails identities

Cites Work

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• MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
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• On three theorems of Folsom, Ono and Rhoades
• Ramanujan's Lost Notebook
• Contribution to the theory of Euler’s function 𝜑(𝑥)¹
• Some Properties of Partitions

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