Article ID Journal Published Year Pages File Type
4594792 Journal of Number Theory 2009 12 Pages PDF
Abstract

With two elementary trigonometric sums and the Jacobi theta function θ1, we provide a new proof of two Ramanujan's identities for the Rogers–Ramanujan continued fraction in his lost notebook. We further derive a new Eisenstein series identity associated with the Rogers–Ramanujan continued fraction.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory