Abstract
In a manuscript of Ramanujan, published with his Lost Notebook [21, pp. 236-237], there are forty identities involving the Rogers-Ramanujan functions. According to G. N. Watson, the beauty of these identities are comparable to that of the Rogers- Ramanujan identities. In the paper, we establish modular relations involving the Göllnitz-Gordon functions which are analogous to Ramanujan's forty identities. Furthermore, we extract interesting partition results from some of the modular relations.
Original language | English |
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Pages (from-to) | 178-216 |
Number of pages | 39 |
Journal | Journal of Number Theory |
Volume | 68 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1998 Feb 1 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory