On relationships between q-product identities and combinatorial partition identities

Abstract

Andrews et al. [2] discussed about the combinatorial partition identities. We aim to present some relationships between q-product identities and combinatorial partition identities, by using and combining known formulas.

Keywords

• combinatorial partition identities
• jacobi's triple-product identity
• ramanujan's theta functions
• q-product identities
• euler's pentagonal number theorem
• rogers-ramanujan continued fraction
• rogers-ramanujan identities