The H and K Family of Mock Theta Functions

DOI10.4153/CJM-2011-066-0zbMath1264.33022OpenAlexW2319764368MaRDI QIDQ2903313

Richard J. McIntosh

Publication date: 8 August 2012

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://cms.math.ca/10.4153/CJM-2011-066-0

zbMATH Keywords

mock theta functionsAppell-Lerch seriesq-series

Mathematics Subject Classification ID

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

Related Items (20)

Some new mock theta functions ⋮ Three-parameter mock theta functions ⋮ Ranks of overpartitions modulo 6 and 10 ⋮ Partial theta functions and mock modular forms as \(q\)-hypergeometric series ⋮ Generalizations of mock theta functions and radial limits ⋮ Split \((n+t)\)-color partitions and Gordon-McIntosh eight order mock theta functions ⋮ Some identities of certain basic hypergeometric series and their applications to mock theta functions ⋮ Hecke-type double sums and mock theta functions ⋮ Families of identities involving universal mock theta functions ⋮ On combinatorial extensions of some Ramanujan's mock theta functions ⋮ Some identities for Appell-Lerch sums and a universal mock theta function ⋮ On two 10th-order mock theta identities ⋮ New mock theta conjectures. I ⋮ Eulerian series as modular forms ⋮ ON SOME NEW MOCK THETA FUNCTIONS ⋮ Universal mock theta functions as quantum Jacobi forms ⋮ Quantum Jacobi forms in number theory, topology, and mathematical physics ⋮ Ranks, cranks for overpartitions and Appell-Lerch sums ⋮ The Bailey transform and Hecke-Rogers identities for the universal mock theta functions ⋮ Quantum modularity of mock theta functions of order 2

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