Expansions for \((q)_\infty^{n^2+2n}\) and basic hypergeometric series in \(U(n)\)
From MaRDI portal
Publication:1300981
DOI10.1016/S0012-365X(98)00375-6zbMath0936.33010MaRDI QIDQ1300981
Stephen C. Milne, Verne E. Leininger
Publication date: 23 November 1999
Published in: Discrete Mathematics (Search for Journal in Brave)
Macdonald identitiesdihedral group symmetries\(\eta\)-functions\(q\)-Whipple transformationsMultiple basic hypergeometric seriesUnitary groups \(U(n)\)
Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Algebraic combinatorics (05E99) Other basic hypergeometric functions and integrals in several variables (33D70)
Related Items
The 26th power of Dedekind's \(\eta\) -function ⋮ Hall-Littlewood polynomials and characters of affine Lie algebras ⋮ GENERALIZED mth ORDER JACOBI THETA FUNCTIONS AND THE MACDONALD IDENTITIES
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\)
- An involution for Jacobi's identity
- Infinite-dimensional Lie algebras and Dedekind's \(\eta\)-function
- On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
- Macdonald-type identities
- Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
- \(C_n\) and \(D_n\) very-well-poised \(_{10}\varphi_9\) transformations
- Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
- Some new infinite families of \(\eta\)-function identities
- Affine root systems and Dedekind's \(\eta\)-function
- Cranks and t-cores
- Generalized Verma modules, loop space cohomology and MacDonald-type identities
- Missed opportunities
- Sieved Partition Functions and q-Binomial Coefficients
- MacDonald Identities and Euclidean Lie Algebras
- An elementary proof of p(11m+6)≡0 (mod 11)
- An Identity for the Coefficients of Certain Modular Forms
