Vanishing coefficients in some q-series expansions

DOI10.1142/S1793042119500398zbMath1459.11117arXiv1912.11185WikidataQ128855583 ScholiaQ128855583MaRDI QIDQ5376918

Dazhao Tang

Publication date: 21 May 2019

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

Full work available at URL: https://arxiv.org/abs/1912.11185

zbMATH Keywords

Jacobi's triple product identityvanishing coefficients\(q\)-series expansions

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences for modular and (p)-adic modular forms (11F33) Elementary theory of partitions (11P81)

Related Items (17)

Results on vanishing coefficients in infinite \(q\)-series expansions for certain arithmetic progressions mod 7 ⋮ The 5-dissections of two infinite product expansions ⋮ Some results on vanishing coefficients in infinite product expansions ⋮ Several \(q\)-series related to Ramanujan's theta functions ⋮ Further results on Vanishing Coefficients in infinite products of the form (qb,qp−b;qp)∞3(qjb,q2p−jb;q2p)∞ ⋮ Vanishing coefficients of \(q^{5n+r}\) and \(q^{11n+r}\) in certain infinite \(q\)-product expansions ⋮ Vanishing coefficients in three families of products of theta functions ⋮ Results on vanishing coefficients in certain infinite \(q\)-series expansions ⋮ Vanishing coefficients in powers of theta functions with odd moduli ⋮ Vanishing coefficients in three families of products of theta functions. II ⋮ VANISHING COEFFICIENTS IN QUOTIENTS OF THETA FUNCTIONS OF MODULUS FIVE ⋮ New infinite \(q\)-product expansions with vanishing coefficients ⋮ Asymptotics for the Taylor coefficients of certain infinite products ⋮ On 5- and 10-dissections for some infinite products ⋮ VANISHING COEFFICIENTS IN FOUR QUOTIENTS OF INFINITE PRODUCT EXPANSIONS ⋮ Generalizations of Hirschhorn’s Results on Two Remarkable q-Series Expansions ⋮ Vanishing coefficients and identities concerning Ramanujan's parameters

Cites Work

• Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
• On the expansion of Ramanujan's continued fraction
• The power of \(q\). A personal journey
• Two remarkable \(q\)-series expansions
• FURTHER RESULTS ON VANISHING COEFFICIENTS IN INFINITE PRODUCT EXPANSIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Vanishing coefficients in some q-series expansions