Article ID Journal Published Year Pages File Type
4595571 Journal of Number Theory 2008 32 Pages PDF
Abstract

We define the nonic Rogers–Ramanujan-type functions D(q), E(q) and F(q) and establish several modular relations involving these functions, which are analogous to Ramanujan's well known forty identities for the Rogers–Ramanujan functions. We also extract partition theoretic results from some of these relations.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory