Periodic partial theta functions and \(q\)-hypergeometric knot multisums as quantum Jacobi forms
DOI10.1016/j.jmaa.2023.127727zbMath1528.11031OpenAlexW4386385025MaRDI QIDQ6063663
Publication date: 8 November 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127727
modular formstheta series\(q\)-hypergeometric seriestorus knotsquantum modular formsquantum Jacobi forms
Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Discontinuous groups and automorphic forms (11F99) Jacobi forms (11F50) Knot polynomials (57K14)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Torus knots and quantum modular forms
- ``Strange combinatorial quantum modular forms
- Quantum Jacobi forms and finite evaluations of unimodal rank generating functions
- A ``strange vector-valued quantum modular form
- The theory of Jacobi forms
- \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity
- Half-integral weight Eichler integrals and quantum modular forms
- Skein-theoretical derivation of some formulas of Habiro
- Torus knot and minimal model
- Quantum Jacobi forms and balanced unimodal sequences
- \(q\)-series identities and values of certain \(L\)-functions
- Quantum invariants of 3-manifolds: Integrality, splitting, and perturbative expansion
- Quantum Jacobi forms and sums of tails identities
- Quantum modularity of partial theta series with periodic coefficients
- Generalized Fishburn numbers and torus knots
- Universal mock theta functions as quantum Jacobi forms
- Quantum Jacobi forms in number theory, topology, and mathematical physics
- On modular forms of half integral weight
- MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
- Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
- Applications of Basic Hypergeometric Functions
- RANK GENERATING FUNCTIONS FOR ODD-BALANCED UNIMODAL SEQUENCES, QUANTUM JACOBI FORMS, AND MOCK JACOBI FORMS
- Further Identities of the Rogers-Ramanujan Type
- Bloch groups, algebraic $K$-theory, units, and Nahm's Conjecture
This page was built for publication: Periodic partial theta functions and \(q\)-hypergeometric knot multisums as quantum Jacobi forms