On Applications of Roots of Unity to Product Identities

DOI10.1007/978-1-4614-0028-8_5zbMath1242.05024OpenAlexW2193593302MaRDI QIDQ2897229

Zhu Cao

Publication date: 10 July 2012

Published in: Partitions, q-Series, and Modular Forms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-0028-8_5

zbMATH Keywords

\(q\)-seriesquintuple product identityseptuple product identity

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Theta functions and abelian varieties (14K25) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

Several new product identities in relation to Rogers-Ramanujan type sums and mock theta functions

Cites Work

• Uniform proofs of \(q\)-series-product identities
• Integer Matrix Exact Covering Systems and Product Identities for Theta Functions
• On the quintuple product identity
• THE QUINTUPLE PRODUCT IDENTITY
• A generalization of the Hirschhorn-Farkas-Kra septagonal numbers identity
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