Vanishing coefficients in arithmetic progressions of some infinite products with modulo 13, 17, 19 and 29

DOI10.1007/S41478-024-00784-7MaRDI QIDQ6660745

Ranganatha D., Channabasavayya

Publication date: 10 January 2025

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

vanishing coefficientsextended quintuple product identityinfinite \(q\)-product expansion

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Convergence and divergence of infinite products (40A20)

Cites Work

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• On the expansion of Ramanujan's continued fraction
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• Results on vanishing coefficients in infinite \(q\)-series expansions for certain arithmetic progressions mod 7
• Two remarkable \(q\)-series expansions
• Vanishing coefficients of \(q^{5n+r}\) and \(q^{11n+r}\) in certain infinite \(q\)-product expansions
• Results on vanishing coefficients in certain infinite \(q\)-series expansions
• Vanishing coefficients in three families of products of theta functions. II
• 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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