Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594792 | Journal of Number Theory | 2009 | 12 Pages |
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