ON GENERAL SERIES-PRODUCT IDENTITIES
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Publication:3644246
DOI10.1142/S1793042109002596zbMath1241.11017MaRDI QIDQ3644246
Publication date: 3 November 2009
Published in: International Journal of Number Theory (Search for Journal in Brave)
recurrence relationquintuple product identityJacobi's triple product identityWinquist's identityoctuple product identity
Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Cites Work
- On an octuple-product identity
- Uniform proofs of \(q\)-series-product identities
- On a combinatorial identity of Winquist and its generalization
- Affine root systems and Dedekind's \(\eta\)-function
- Applications of Basic Hypergeometric Functions
- A New Identity for (q;q) 10 with an Application to Ramanujan's Partition Congruence Modulo 11
- Ramanujan's Eisenstein series and powers of Dedekind's eta-function
- An elementary proof of p(11m+6)≡0 (mod 11)
- Generalized Lambert series identities
- Residue theorem and theta function identities
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