\(m\)-dissections of some infinite products and related identities

DOI10.1007/s11139-021-00535-3zbMath1506.05030OpenAlexW4206531245MaRDI QIDQ2168707

James Mc Laughlin

Publication date: 26 August 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00535-3

zbMATH Keywords

Lambert seriesquintuple product identityJacobi triple product identityinfinite \(q\)-products\(m\)-dissectionssigns of coefficients

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27)

Related Items (3)

Vanishing coefficients in quotients of theta functions with odd moduli ⋮ Vanishing coefficients in three families of products of theta functions ⋮ Vanishing coefficients in three families of products of theta functions. II

Cites Work

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• On the 2- and 4-dissections of Ramanujan's continued fraction and its reciprocal
• The 5-dissections of two infinite product expansions
• Theta function identities
• Generalisations of some theorems of Ramanujan
• Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
• On the expansion of Ramanujan's continued fraction
• Two remarkable \(q\)-series expansions
• Some Theorems on the Rogers–Ramanujan Continued Fraction in Ramanujan’s Lost Notebook
• THE QUINTUPLE PRODUCT IDENTITY

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