Rogers-Ramanujan-Slater type identities

zbMath1153.33005arXiv1901.00946MaRDI QIDQ2378881

Peter Zimmer, Andrew V. Sills, James Mc Laughlin

Publication date: 14 January 2009

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00946

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items

The tail of a quantum spin network ⋮ The \(\operatorname{SU}(r)_{2}\) string functions as \(q\)-diagrams ⋮ A \(q\)-multisum identity arising from finite chain ring probabilities ⋮ On a pair of identities from Ramanujan's lost notebook ⋮ Bilateral identities of the Rogers–Ramanujan type ⋮ New proofs of some double sum Rogers-Ramanujan type identities ⋮ Level two string functions and Rogers Ramanujan type identities ⋮ Rogers-Ramanujan type identities via Abel's lemma on summation by parts ⋮ Vertex algebraic structure of principal subspaces of basic \(A_{2n}^{(2)}\)-modules ⋮ Some more identities of Kanade-Russell type derived using Rosengren's method ⋮ Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind ⋮ Rogers-Ramanujan type identities and nil-DAHA ⋮ A tiling approach to eight identities of Rogers ⋮ Difference equations arising from cluster algebras ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities ⋮ Connection relations for \(q\)-Taylor polynomial bases ⋮ Some q-transformation formulas and Hecke type identities ⋮ Rogers-Ramanujan computer searches ⋮ On a method for deriving formulas for the Jacobi theta functions