Vanishing coefficients and identities concerning Ramanujan's parameters

DOI10.1007/s11139-021-00385-zzbMath1492.11090OpenAlexW3156806350MaRDI QIDQ2117548

Dazhao Tang, Shane Chern

Publication date: 21 March 2022

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

Full work available at URL: https://doi.org/10.1007/s11139-021-00385-z

zbMATH Keywords

Rogers-Ramanujan continued fractionRamanujan's lost notebookvanishing coefficientsRamanujan's parameters

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Theta series; Weil representation; theta correspondences (11F27)

Related Items (4)

Vanishing coefficients in quotients of theta functions with odd moduli ⋮ 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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• The 5-dissections of two infinite product expansions
• Some results on vanishing coefficients in infinite product expansions
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• New infinite \(q\)-product expansions with vanishing coefficients
• Asymptotics for the Taylor coefficients of certain infinite products
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• The power of \(q\). A personal journey
• Two remarkable \(q\)-series expansions
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• Ramanujan's Theta Functions
• Exact generating functions for the number of partitions into distinct parts
• 5-dissections and sign patterns of Ramanujan's parameter and its companion
• VANISHING COEFFICIENTS IN QUOTIENTS OF THETA FUNCTIONS OF MODULUS FIVE
• FURTHER RESULTS ON VANISHING COEFFICIENTS IN INFINITE PRODUCT EXPANSIONS
• VANISHING COEFFICIENTS IN FOUR QUOTIENTS OF INFINITE PRODUCT EXPANSIONS
• Vanishing coefficients in some q-series expansions
• THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS

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