Identities on Zagier's rank two examples for Nahm's problem

DOI10.1007/S40687-024-00460-ZMaRDI QIDQ6566585

Liuquan Wang

Publication date: 3 July 2024

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

integral methodRogers-Ramanujan type identitiessum-product identitiesSlater's listNahm's problem

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic hypergeometric integrals and functions defined by them (33D60) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• Nahm's conjecture: asymptotic computations and counterexamples
• Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type
• Vertex algebraic structure of principal subspaces of basic \(A_{2n}^{(2)}\)-modules
• The generalized Borwein conjecture. II: Refined \(q\)-trinomial coefficients
• On double sum generating functions in connection with some classical partition theorems
• Rogers-Ramanujan type identities and nil-DAHA
• Multi-sum Rogers-Ramanujan type identities
• Conformal field theory and the dilogarithm
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• The Dilogarithm Function
• Conformal Field Theory and Torsion Elements of the Bloch Group
• On the general Rogers-Ramanujan theorem
• Ramanujan's Lost Notebook
• Further Identities of the Rogers-Ramanujan Type
• Asymmetric Rogers–Ramanujan type identities. I. The Andrews–Uncu conjecture
• New proofs of some double sum Rogers-Ramanujan type identities
• Sequences in overpartitions
• On some double Nahm sums of Zagier
• Proofs of some partition identities conjectured by Kanade and Russell
• Some more identities of Kanade-Russell type derived using Rosengren's method

Related Items (1)

Explicit forms and proofs of Zagier's rank three examples for Nahm's problem

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