Asymptotic behavior of partial and false theta functions arising from Jacobi forms and regularized characters

DOI10.1063/1.4973634zbMath1407.11059arXiv1604.01977OpenAlexW3105111092MaRDI QIDQ2963275

Amanda Folsom, Antun Milas, Kathrin Bringmann

Publication date: 13 February 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01977

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Theta series; Weil representation; theta correspondences (11F27)

Related Items (14)

Partial theta function and separation in modulus property of its zeros ⋮ A quasi-Hopf algebra for the triplet vertex operator algebra ⋮ The Gaussian kernel on the circle and spaces that admit isometric embeddings of the circle ⋮ Eventual log-concavity of \(k\)-rank statistics for integer partitions ⋮ A domain free of the zeros of the partial theta function ⋮ Logarithmic link invariants of \(\overline{U}_q^H(\mathfrak{sl}_2)\) and asymptotic dimensions of singlet vertex algebras ⋮ Local moderate and precise large deviations via cluster expansions ⋮ On the complex conjugate zeros of the partial theta function ⋮ 3d modularity ⋮ Asymptotics of generalized partial theta functions with a Dirichlet character ⋮ Quantum Jacobi forms in number theory, topology, and mathematical physics ⋮ Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms ⋮ Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions ⋮ Higher rank partial and false theta functions and representation theory

Uses Software

• DLMF

Cites Work

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• Tata lectures on theta. I. With the collaboration of C. Musili, M. Nori, E. Previato, and M. Stillman
• On the asymptotic behavior of unimodal rank generating functions
• Half-integral weight Eichler integrals and quantum modular forms
• Ramanujan's ``lost notebook. I: Partial Theta-functions
• Combinatorial proofs of identities in Ramanujan's lost notebook associated with the Rogers-Fine identity and false theta functions
• Modular forms and quantum invariants of \(3\)-manifolds
• Logarithmic link invariants of \(\overline{U}_q^H(\mathfrak{sl}_2)\) and asymptotic dimensions of singlet vertex algebras
• False theta functions and the Verlinde formula
• Some remarks on the unrolled quantum group of \(\mathfrak{sl}(2)\)
• Nahm sums, stability and the colored Jones polynomial
• Higher rank partial and false theta functions and representation theory
• Mock (false) theta functions as quantum invariants
• Orbifolds of symplectic fermion algebras
• MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
• Characters of Modules of Irrational Vertex Algebras
• A Survey of Alternating Permutations
• Asymptotic expansions of certain partial theta functions
• 𝒲-Algebras, False Theta Functions and Quantum Modular Forms, I
• A NEW COMBINATORIAL STUDY OF THE ROGERS–FINE IDENTITY AND A RELATED PARTIAL THETA SERIES
• On Regularised Quantum Dimensions of the Singlet Vertex Operator Algebra and False Theta Functions
• Vassiliev invariants and a strange identity related to the Dedekind eta-function

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