An Euler product transform applied to \(q\)-series

DOI10.1007/s11139-006-0078-yzbMath1155.11341OpenAlexW2093161617MaRDI QIDQ861566

Geoffrey B. Campbell

Publication date: 29 January 2007

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

Full work available at URL: https://doi.org/10.1007/s11139-006-0078-y

zbMATH Keywords

Basic hypergeometric functions in one variableDirichlet series and other series expansionsDirichlet series and zeta functionsExponential series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other Dirichlet series and zeta functions (11M41) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

• Number theory III: Diophantine geometry
• Apéry numbers, Jacobi sums, and special values of generalized \(p\)-adic hypergeometric functions
• Dirichlet summations and products over primes
• Infinite products over visible lattice points
• On Jacobi sums, multinomial coefficients, and \(p\)-adic hypergeometric functions
• The hard-hexagon model and Rogers—Ramanujan type identities
• Ramanujan's Extensions of the Gamma and Beta Functions
• Theq-Gamma andq-Beta Functions†
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item