On some double Nahm sums of Zagier

DOI10.1016/j.jcta.2023.105819arXiv2303.01333OpenAlexW4387526749MaRDI QIDQ6144386

Zhineng Cao, Liuquan Wang, Hjalmar Rosengren

Publication date: 29 January 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.01333

zbMATH Keywords

Rogers-Ramanujan identitiesNahm sumsconstant term methodsum-product identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

• Nahm's conjecture: asymptotic computations and counterexamples
• Vertex algebraic structure of principal subspaces of basic \(A_{2n}^{(2)}\)-modules
• Rogers-Ramanujan type identities and nil-DAHA
• The Dilogarithm Function
• Conformal Field Theory and Torsion Elements of the Bloch Group
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