Second Order Mock Theta Functions
From MaRDI portal
Publication:5436647
DOI10.4153/CMB-2007-028-9zbMath1133.11013WikidataQ29013871 ScholiaQ29013871MaRDI QIDQ5436647
Publication date: 17 January 2008
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Related Items
Some new mock theta functions ⋮ Bilateral series in terms of mixed mock modular forms ⋮ On second order mock theta function \(B(q)\) ⋮ Identities involving mock theta functions and theta functions ⋮ \(M_2\)-ranks of overpartitions modulo 4 and 8 ⋮ Families of multisums as mock theta functions ⋮ New families of mock theta functions and partial fraction decomposition ⋮ Concave and convex compositions ⋮ Identities and inequalities for the \(M_2\)-rank of partitions without repeated odd parts modulo 8 ⋮ Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I ⋮ Three-parameter mock theta functions ⋮ Transformation properties for Dyson’s rank function ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Bailey chain and mock theta functions ⋮ Some new representations of Hikami’s second-order mock theta function D5(q) ⋮ 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 ⋮ New mock theta functions and formulas for basic hypergeometric series ⋮ Hecke-type double sums and mock theta functions ⋮ Inequalities for the \(M_2\)-rank modulo 12 of partitions without repeated odd parts ⋮ Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind ⋮ On Ramanujan's lost notebook and new tenth‐order like identities for second‐, sixth‐, and eighth‐order mock theta functions ⋮ On combinatorial extensions of some Ramanujan's mock theta functions ⋮ Two generalizations of Jacobi's triple product identity and their applications ⋮ Unnamed Item ⋮ Applications of an identity of Andrews ⋮ OVERPARTITIONS RELATED TO THE MOCK THETA FUNCTION ⋮ Ranks of overpartitions modulo 4 and 8 ⋮ Unnamed Item ⋮ Parity of coefficients of 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 ⋮ Note on the problem of Ramanujan's radial limits ⋮ Unnamed Item ⋮ On the modularity of the unified WRT invariants of certain Seifert manifolds ⋮ On second and eighth order mock theta functions ⋮ New mock theta conjectures. I ⋮ On the vanishing of some mock theta functions at odd roots of unity ⋮ Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity ⋮ Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions ⋮ ON SOME NEW MOCK THETA FUNCTIONS ⋮ Representations of mock theta functions ⋮ Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols ⋮ \(M_2\)-rank differences for partitions without repeated odd parts ⋮ Unnamed Item ⋮ A proof of the mod 4 unimodal sequence conjectures and related mock theta functions ⋮ TWO CONGRUENCES FOR APPELL–LERCH SUMS ⋮ Optimal mock Jacobi theta functions ⋮ A mock theta function of second order ⋮ Combinatorics of two second-order mock theta functions ⋮ The \(M_{2}\)-rank of partitions without repeated odd parts modulo 6 and 10 ⋮ Quantum modularity of mock theta functions of order 2