Generalizations of Hirschhorn’s Results on Two Remarkable q-Series Expansions

DOI10.1080/10586458.2020.1712565OpenAlexW3013572076MaRDI QIDQ5866505

Ernest X. W. Xia, Alice Xiao Hua Zhao

Publication date: 22 September 2022

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2020.1712565

zbMATH Keywords

signsvanishing coefficients\(q\)-series expansions

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (6)

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 ⋮ Asymptotics for the Taylor coefficients of certain infinite products ⋮ On 5- and 10-dissections for some infinite products ⋮ 5-dissections and sign patterns of Ramanujan's parameter and its companion

Uses Software

• Maple
• qseries
• thetaids

Cites Work

• Some results on vanishing coefficients in infinite product expansions
• Several \(q\)-series related to Ramanujan's theta functions
• Two remarkable \(q\)-series expansions
• Vanishing coefficients in some q-series expansions
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