Representations of mock theta functions
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Publication:2308294
DOI10.1016/j.aim.2020.107037zbMath1437.11062arXiv1811.07686OpenAlexW3005745985MaRDI QIDQ2308294
Publication date: 2 April 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.07686
Binomial coefficients; factorials; (q)-identities (11B65) Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11) Partition identities; identities of Rogers-Ramanujan type (11P84)
Related Items (18)
Some new mock theta functions ⋮ Infinite families of Hecke-Rogers type series and their truncated representations ⋮ Expansion formulas for multiple basic hypergeometric series over root systems ⋮ New families of mock theta functions and partial fraction decomposition ⋮ Three-parameter mock theta functions ⋮ Hecke-Rogers type series representations for infinite products ⋮ A multiple \(q\)-exponential differential operational identity ⋮ Generalizations of mock theta functions and Appell-Lerch sums ⋮ New mock theta functions and formulas for basic hypergeometric series ⋮ Hecke-type double sums and mock theta functions ⋮ Expressing q-series in terms of building blocks of Hecke-type double-sums ⋮ Several \(q\)-series transformation formulas and new Hecke-Rogers type series identities ⋮ Two generalizations of Jacobi's triple product identity and their applications ⋮ Parity of coefficients of mock theta functions ⋮ On the Askey–Wilson polynomials and a $q$-beta integral ⋮ Some further Hecke-type identities ⋮ Representations of mock theta functions ⋮ A proof of the mod 4 unimodal sequence conjectures and related mock theta functions
Cites Work
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- On the dual nature of partial theta functions and Appell-Lerch sums
- New mock theta conjectures. I
- \(q\)-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions
- Hecke modular form expansions for eighth order Mock theta functions
- On two fifth order mock theta functions
- Infinite-dimensional Lie algebras, theta functions and modular forms
- Partitions and indefinite quadratic forms.
- A proof of the mock theta conjectures
- On the seventh order mock theta functions
- Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
- Tenth order mock theta functions in Ramanujan's lost notebook
- An expansion formula for \(q\)-series and applications
- A \(q\)-series expansion formula and the Askey-Wilson polynomials
- On three third order mock theta functions and Hecke-type double sums
- Universal mock theta functions and two-variable Hecke-Rogers identities
- New fifth and seventh order mock theta function identities
- Representations of mock theta functions
- Some Hecke-Rogers type identities
- Sixth order mock theta functions
- Tenth order mock theta functions in Ramanujan’s lost notebook (IV)
- ON THE q-DERIVATIVE AND q-SERIES EXPANSIONS
- A Survey of Classical Mock Theta Functions
- Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
- Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
- Hecke Modular Forms and the KAC-Peterson Identities
- Tenth order mock theta functions in Ramanujan's lost notebook III
- The Fifth and Seventh Order Mock Theta Functions
- New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
- Some Eighth Order Mock Theta Functions
- Ramanujan's Lost Notebook
- Second Order Mock Theta Functions
- Enumerative proofs of certain q-identities
- The Mock Theta Functions (2)
- Tenth order mock theta functions in Ramanujan's lost notebook. II
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