Bailey pairs and indefinite quadratic forms

DOI10.1016/j.jmaa.2013.09.009zbMath1320.33025OpenAlexW2084987053MaRDI QIDQ2260384

Jeremy Lovejoy

Publication date: 10 March 2015

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.2013.09.009

zbMATH Keywords

\(q\)-seriesmock theta functionsBailey pairsindefinite quadratic forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (12)

Bailey pairs and indefinite quadratic forms. II: False indefinite theta functions ⋮ Families of multisums as mock theta functions ⋮ Torus knots and quantum modular forms ⋮ Asymptotics for Bailey-type mock theta functions ⋮ More on some mock theta double sums ⋮ Generalizations of mock theta functions and radial limits ⋮ Small values of coefficients of a half Lerch sum ⋮ Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind ⋮ Unnamed Item ⋮ PARTIAL INDEFINITE THETA IDENTITIES ⋮ Universal mock theta functions and two-variable Hecke-Rogers identities ⋮ ON SOME NEW MOCK THETA FUNCTIONS

Cites Work

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• \(q\)-hypergeometric double sums as mock theta functions
• The Bailey chain and mock theta functions
• Multiple series Rogers-Ramanujan type identities
• Partitions and indefinite quadratic forms.
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Tenth order mock theta functions in Ramanujan's lost notebook
• Overpartitions and real quadratic fields
• Characters and \(q\)-series in \(\mathbb Q(\sqrt 2)\)
• Sixth order mock theta functions
• 50 Years of Bailey's lemma
• Partitions with Early Conditions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• Multiplicative $q$-hypergeometric series arising from real quadratic fields
• A short proof of the Mock Theta Conjectures using Maass forms
• The Fifth and Seventh Order Mock Theta Functions
• A Bailey lattice
• Mixed mock modular q-series
• A New Proof of Rogers's Transformations of Infinite Series
• Tenth order mock theta functions in Ramanujan's lost notebook. II
• Change of base in Bailey pairs

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