Rank-crank type PDE's and non-holomorphic Jacobi forms

DOI10.4310/MRL.2010.v17.n4.a1zbMath1253.11093arXiv0807.3603MaRDI QIDQ2275718

Kathrin Bringmann, Sander Zwegers

Publication date: 9 August 2011

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3603

zbMATH Keywords

Jacobi formsrank generating functioncrank generating function

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Jacobi forms (11F50) Analytic theory of partitions (11P82)

Related Items (12)

Mock modular forms and class number relations ⋮ On the Fourier coefficients of negative index meromorphic Jacobi forms ⋮ Rank-crank-type PDEs and generalized Lambert series identities ⋮ Quantum Jacobi forms and finite evaluations of unimodal rank generating functions ⋮ On the Fourier coefficients of meromorphic Jacobi forms ⋮ Negative index Jacobi forms and quantum modular forms ⋮ Taylor coefficients of mock-Jacobi forms and moments of partition statistics ⋮ Inequalities between ranks and cranks ⋮ Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms ⋮ The heat operator and mock Jacobi forms ⋮ Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols ⋮ Kac-Wakimoto characters and non-holomorphic Jacobi forms

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