Radial limits of mock theta functions

DOI10.1186/s40687-015-0035-8zbMath1379.11048arXiv1409.3782OpenAlexW1857008411WikidataQ59401786 ScholiaQ59401786MaRDI QIDQ290124

Kathrin Bringmann, Larry Rolen

Publication date: 1 June 2016

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3782

zbMATH Keywords

mock theta functionscuspsharmonic Maass formquantum modular forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27)

Related Items (19)

Jacobi’s triple product, mock theta functions, unimodal sequences and the q-bracket ⋮ Notes on entanglement entropy in string theory ⋮ Radial limits of the universal mock theta function 𝑔₃ ⋮ Overpartition ranks and quantum modular forms ⋮ Congruences for Taylor expansions of quantum modular forms ⋮ Generalizations of mock theta functions and radial limits ⋮ RANK GENERATING FUNCTIONS FOR ODD-BALANCED UNIMODAL SEQUENCES, QUANTUM JACOBI FORMS, AND MOCK JACOBI FORMS ⋮ Quantum Jacobi forms and balanced unimodal sequences ⋮ Quantum Modular Forms and Singular Combinatorial Series with Distinct Roots of Unity ⋮ Quantum modular forms and singular combinatorial series with repeated roots of unity ⋮ Perspectives on mock modular forms ⋮ 3d modularity ⋮ Mock and mixed mock modular forms in the lower half-plane ⋮ Universal mock theta functions as quantum Jacobi forms ⋮ Quantum Jacobi forms in number theory, topology, and mathematical physics ⋮ Mock modular Eisenstein series with Nebentypus ⋮ Asymptotics and Ramanujan's mock theta functions: then and now ⋮ Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms ⋮ Quantum modularity of mock theta functions of order 2

Cites Work

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• Mock modular forms and quantum modular forms
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• A Survey of Classical Mock Theta Functions
• Ramanujan's Radial Limits and Mixed Mock Modular Bilateralq-Hypergeometric Series
• Eta Products and Theta Series Identities
• Ramanujan’s mock theta functions
• On Ramanujan’s definition of mock theta function
• On three theorems of Folsom, Ono and Rhoades
• Bilateral series and Ramanujan’s radial limits
• Vassiliev invariants and a strange identity related to the Dedekind eta-function
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