MOCK THETA DOUBLE SUMS
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Publication:2981904
DOI10.1017/S0017089516000197zbMath1430.11060arXiv1502.00387OpenAlexW2201450866MaRDI QIDQ2981904
Publication date: 10 May 2017
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.00387
Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Related Items (13)
Higher depth mock theta functions and \(q\)-hypergeometric series ⋮ Families of multisums as mock theta functions ⋮ New families of mock theta functions and partial fraction decomposition ⋮ Mock theta functions in terms of q-hypergeometric double sums ⋮ More on some mock theta double sums ⋮ New mock theta functions and formulas for basic hypergeometric series ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some further Hecke-type identities ⋮ ON SOME NEW MOCK THETA FUNCTIONS ⋮ A general double sum identity, mock theta functions, and Bailey pairs ⋮ On certain identities involving Nahm-type sums with double poles ⋮ Real quadratic double sums
Cites Work
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- \(q\)-hypergeometric double sums as mock theta functions
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- Real quadratic double sums
- 50 Years of Bailey's lemma
- A Survey of Classical Mock Theta Functions
- Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
- Multiplicative $q$-hypergeometric series arising from real quadratic fields
- The Fifth and Seventh Order Mock Theta Functions
- Positivity preserving transformations for 𝑞-binomial coefficients
- A New Proof of Rogers's Transformations of Infinite Series
- Change of base in Bailey pairs
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