Further results on Vanishing Coefficients in infinite products of the form (qb,qp−b;qp)∞3(qjb,q2p−jb;q2p)∞

DOI10.1142/S1793042122500956zbMath1495.11044OpenAlexW4225136095WikidataQ114071803 ScholiaQ114071803MaRDI QIDQ5082497

Peter Zimmer, James Mc Laughlin

Publication date: 16 June 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042122500956

zbMATH Keywords

\(q\)-seriesJacobi triple product identityinfinite 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 (3)

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

Cites Work

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• Some results on vanishing coefficients in infinite product expansions
• New infinite \(q\)-product expansions with vanishing coefficients
• A generalization of Schröter's formula
• Two remarkable \(q\)-series expansions
• Integer Matrix Exact Covering Systems and Product Identities for Theta Functions
• FURTHER RESULTS ON VANISHING COEFFICIENTS IN INFINITE PRODUCT EXPANSIONS
• Vanishing coefficients in some q-series expansions

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