GENERALIZED mth ORDER JACOBI THETA FUNCTIONS AND THE MACDONALD IDENTITIES
From MaRDI portal
Publication:3602989
DOI10.1142/S1793042108001456zbMath1165.33013OpenAlexW1980194075MaRDI QIDQ3602989
Publication date: 12 February 2009
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042108001456
Theta series; Weil representation; theta correspondences (11F27) Dedekind eta function, Dedekind sums (11F20) Simple, semisimple, reductive (super)algebras (17B20) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Elliptic functions and integrals (33E05)
Related Items (4)
Ramanujan type identities and congruences for partition pairs ⋮ Determinant identities for theta functions ⋮ On a certain vector crank modulo 7 ⋮ Differential equations satisfied by Eisenstein series of level 2
Cites Work
- An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\)
- On an octuple-product identity
- Expansions for \((q)_\infty^{n^2+2n}\) and basic hypergeometric series in \(U(n)\)
- On the products of three theta functions
- A three-term theta function identity and its applications
- Affine root systems and Dedekind's \(\eta\)-function
- Advanced determinant calculus: a complement
- THE QUINTUPLE PRODUCT IDENTITY
- Ramanujan's Eisenstein series and powers of Dedekind's eta-function
- ELLIPTIC FUNCTIONS AND THE QUINTUPLE, HIRSCHHORN AND WINQUIST PRODUCT IDENTITIES
- Elliptic determinant evaluations and the Macdonald identities for affine root systems
- An elementary proof of p(11m+6)≡0 (mod 11)
- A generalization of the Hirschhorn-Farkas-Kra septagonal numbers identity
This page was built for publication: GENERALIZED mth ORDER JACOBI THETA FUNCTIONS AND THE MACDONALD IDENTITIES
