On 5- and 10-dissections for some infinite products
From MaRDI portal
Publication:2052837
DOI10.1007/s11139-020-00340-4zbMath1478.11067OpenAlexW3128048985MaRDI QIDQ2052837
Publication date: 29 November 2021
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-020-00340-4
Rogers-Ramanujan functionsdissectionsJacobi's triple product identitysign patternsinfinite \(q\)-series products
Binomial coefficients; factorials; (q)-identities (11B65) Power series (including lacunary series) in one complex variable (30B10) Theta series; Weil representation; theta correspondences (11F27)
Related Items (5)
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 ⋮ 5-dissections and sign patterns of Ramanujan's parameter and its companion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 4-dissections and 8-dissections for some infinite products
- The 5-dissections of two infinite product expansions
- Some results on vanishing coefficients in infinite product expansions
- Generalisations of some theorems of Ramanujan
- Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
- On the expansion of Ramanujan's continued fraction
- An injection for the Ehrenpreis Rogers-Ramanujan problem
- On the expansion of a continued fraction of Gordon
- Asymptotics for the Taylor coefficients of certain infinite products
- The periodicity of the signs of the coefficients of certain infinite products
- The power of \(q\). A personal journey
- Two remarkable \(q\)-series expansions
- On 2- and 4-dissections for some infinite products
- ON THE EXPANSION OF A CONTINUED FRACTION OF ORDER TWELVE
- Ramanujan's Theta Functions
- 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
- ON THE SERIES EXPANSION OF THE GÖLLNITZ–GORDON CONTINUED FRACTION
- Vanishing coefficients in some q-series expansions
- Generalizations of Hirschhorn’s Results on Two Remarkable q-Series Expansions
This page was built for publication: On 5- and 10-dissections for some infinite products