VANISHING COEFFICIENTS IN QUOTIENTS OF THETA FUNCTIONS OF MODULUS FIVE

DOI10.1017/S0004972720000271zbMath1475.11073OpenAlexW3013714730MaRDI QIDQ5138953

Dazhao Tang, Shane Chern

Publication date: 4 December 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720000271

zbMATH Keywords

theta functionseta functionsvanishing coefficients5-dissections

Mathematics Subject Classification ID

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

Related Items (8)

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 ⋮ On 5- and 10-dissections for some infinite products ⋮ 5-dissections and sign patterns of Ramanujan's parameter and its companion ⋮ Vanishing coefficients in two families of quotients of theta functions ⋮ Vanishing coefficients and identities concerning Ramanujan's parameters

Cites Work

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• Finding modular functions for Ramanujan-type identities
• The power of \(q\). A personal journey
• Two remarkable \(q\)-series expansions
• Dissections of quotients of theta-functions
• 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

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