Quantum Jacobi forms and finite evaluations of unimodal rank generating functions

DOI10.1007/s00013-016-0941-zzbMath1347.05012OpenAlexW2524190812MaRDI QIDQ330079

Kathrin Bringmann, Amanda Folsom

Publication date: 24 October 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/21.11116/0000-0004-0ED9-9

zbMATH Keywords

Jacobi formsmodular formsquantum modular formsunimodal sequencespartition crankspartition ranksquantum Jacobi forms

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Applications of the Hardy-Littlewood method (11P55) Fourier coefficients of automorphic forms (11F30) Discontinuous groups and automorphic forms (11F99) Jacobi forms (11F50) Analytic theory of partitions (11P82)

Related Items

Overpartition ranks and quantum modular forms, An analogue of $k$-marked Durfee symbols for strongly unimodal sequences, Periodic partial theta functions and \(q\)-hypergeometric knot multisums as quantum Jacobi forms, RANK GENERATING FUNCTIONS FOR ODD-BALANCED UNIMODAL SEQUENCES, QUANTUM JACOBI FORMS, AND MOCK JACOBI FORMS, Quantum Jacobi forms and balanced unimodal sequences, APS \(\eta \)-invariant, path integrals, and mock modularity, Quantum Jacobi forms and sums of tails identities, Universal mock theta functions as quantum Jacobi forms, Quantum Jacobi forms in number theory, topology, and mathematical physics, Asymptotics and Ramanujan's mock theta functions: then and now, Peak positions of strongly unimodal sequences

Cites Work

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