DOI10.1007/978-1-4614-0028-8_9zbMath1246.33006OpenAlexW33801083MaRDI QIDQ2897233
Richard J. McIntosh, Basil Gordon
Publication date: 10 July 2012
Published in: Partitions, q-Series, and Modular Forms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4614-0028-8_9
Higher depth mock theta functions and \(q\)-hypergeometric series ⋮
Some new mock theta functions ⋮
Mock theta functions and Appell-Lerch sums ⋮
On second order mock theta function \(B(q)\) ⋮
Radial limits of mock theta functions ⋮
New families of mock theta functions and partial fraction decomposition ⋮
Vector-valued modular forms and the mock theta conjectures ⋮
Mock theta functions in terms of q-hypergeometric double sums ⋮
Generalizations of the Andrews-Yee identities associated with the mock theta functions \(\omega (q)\) and \(\nu (q)\) ⋮
Jacobi’s triple product, mock theta functions, unimodal sequences and the q-bracket ⋮
Radial limits of the universal mock theta function 𝑔₃ ⋮
Hecke-type triple sums associated with mock theta functions ⋮
Three-parameter mock theta functions ⋮
Transformation properties for Dyson’s rank function ⋮
The generating function of the $M_2$-rank of partitions without repeated odd parts as a mock modular form ⋮
Unnamed Item ⋮
Several new product identities in relation to Rogers-Ramanujan type sums and mock theta functions ⋮
Ranks of overpartitions modulo 6 and 10 ⋮
The Bailey chain and mock theta functions ⋮
Partial theta functions and mock modular forms as \(q\)-hypergeometric series ⋮
Asymptotics for Bailey-type mock theta functions ⋮
Some new representations of Hikami’s second-order mock theta function D5(q) ⋮
A generalization of Zwegers' \(\mu\)-function according to the \(q\)-Hermite-Weber difference equation ⋮
Generalizations of mock theta functions and radial limits ⋮
Generalizations of mock theta functions and Appell-Lerch sums ⋮
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 ⋮
Congruences for the coefficients of the mock theta function \(\beta (q)\) ⋮
New mock theta functions and formulas for basic hypergeometric series ⋮
On the dual nature theory of bilateral series associated to mock theta functions ⋮
Hecke-type double sums and mock theta functions ⋮
Families of identities involving universal mock theta functions ⋮
On recursions for coefficients of mock theta functions ⋮
Rank differences for overpartitions modulo $6$ ⋮
RANK GENERATING FUNCTIONS FOR ODD-BALANCED UNIMODAL SEQUENCES, QUANTUM JACOBI FORMS, AND MOCK JACOBI FORMS ⋮
Two generalizations of Jacobi's triple product identity and their applications ⋮
Ramanujan's Radial Limits and Mixed Mock Modular Bilateralq-Hypergeometric Series ⋮
Partition identities from third and sixth order mock theta functions ⋮
MOCK THETA DOUBLE SUMS ⋮
Mock modular forms and \(d\)-distinct partitions ⋮
Applications of an identity of Andrews ⋮
Combinatorics of some fifth and sixth order mock theta functions ⋮
Ranks of overpartitions modulo 4 and 8 ⋮
ARITHMETIC PROPERTIES OF COEFFICIENTS OF THE MOCK THETA FUNCTION ⋮
Parity of coefficients of mock theta functions ⋮
Dyson’s rank, overpartitions, and universal mock theta functions ⋮
Some identities for Appell-Lerch sums and a universal mock theta function ⋮
Asymptotic formulas related to the \(M_2\)-rank of partitions without repeated odd parts ⋮
The Mordell integral, quantum modular forms, and mock Jacobi forms ⋮
On the asymptotic behavior of Kac-Wakimoto characters ⋮
Perspectives on mock modular forms ⋮
Asymptotic expansions, \(L\)-values and a new quantum modular form ⋮
On two 10th-order mock theta identities ⋮
Universal mock theta functions and two-variable Hecke-Rogers identities ⋮
On the modularity of the unified WRT invariants of certain Seifert manifolds ⋮
The basic bilateral hypergeometric series and the mock theta functions ⋮
On second and eighth order mock theta functions ⋮
New mock theta conjectures. I ⋮
\({\mathcal N}=2\) superconformal algebra and the entropy of Calabi-Yau manifolds ⋮
Mock and mixed mock modular forms in the lower half-plane ⋮
On the mock-theta behavior of Appell-Lerch series ⋮
Combinatorial proofs and generalization of Bringmann, Lovejoy and Mahlburg's overpartition theorems ⋮
Quantum mock modular forms arising from eta-theta functions ⋮
Third-order mock theta functions ⋮
Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions ⋮
ON SOME NEW MOCK THETA FUNCTIONS ⋮
Representations of mock theta functions ⋮
Quantum Jacobi forms and sums of tails identities ⋮
Properties of the Appell-Lerch function (I) ⋮
Universal mock theta functions as quantum Jacobi forms ⋮
Congruences related to an eighth order mock theta function of Gordon and McIntosh ⋮
Unnamed Item ⋮
Asymptotics and Ramanujan's mock theta functions: then and now ⋮
Optimal mock Jacobi theta functions ⋮
A mock theta function of second order ⋮
Eulerian series as Modular forms revisited ⋮
BPS indices, modularity and perturbations in quantum K-theory ⋮
MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS ⋮
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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