An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli

AUTOR(ES)

Andrews, George E.

RESUMO

A (k - 1)-fold Eulerian series expansion is given for II(1 - qn)-1, where the product runs over all positive integers n that are not congruent to 0,i or - i modulo 2k + 1. The Rogers-Ramanujan identities are the cases k = i = 2 and k = i + 1 = 2.

Documentos Relacionados

• Aspectos combinatorios de identidades do tipo Rogers-Ramanujan
• The Rogers-Ramanujan identities: Lie theoretic interpretation and proof
• The hard-hexagon model and Rogers—Ramanujan type identities
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• Novas identidades combinatorias relacionadas a versões finitas de identidades do tipo Rogers-Ramanujan