New infinite \(q\)-product expansions with vanishing coefficients

DOI10.1007/s11139-020-00275-wzbMath1495.11043OpenAlexW3045305027MaRDI QIDQ2039004

James Mc Laughlin

Publication date: 7 July 2021

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

Full work available at URL: https://doi.org/10.1007/s11139-020-00275-w

zbMATH Keywords

\(q\)-seriesinfinite productsvanishing coefficientsinfinite \(q\)-products

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (8)

Results on vanishing coefficients in infinite \(q\)-series expansions for certain arithmetic progressions mod 7 ⋮ Further results on Vanishing Coefficients in infinite products of the form (qb,qp−b;qp)∞3(qjb,q2p−jb;q2p)∞ ⋮ Vanishing coefficients of \(q^{5n+r}\) and \(q^{11n+r}\) in certain infinite \(q\)-product expansions ⋮ Vanishing coefficients in three families of products of theta functions ⋮ Results on vanishing coefficients in certain infinite \(q\)-series expansions ⋮ Vanishing coefficients in powers of theta functions with odd moduli ⋮ Vanishing coefficients in three families of products of theta functions. II ⋮ Vanishing coefficients and identities concerning Ramanujan's parameters

Cites Work

• The 5-dissections of two infinite product expansions
• Some results on vanishing coefficients in infinite product expansions
• Several \(q\)-series related to Ramanujan's theta functions
• A generalization of Schröter's formula
• Two remarkable \(q\)-series expansions
• Integer Matrix Exact Covering Systems and Product Identities for Theta Functions
• Vanishing coefficients in some q-series expansions

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