New Ramanujan-Kolberg type partition identities
Published
Journal Article
In this article, we use functions studied by N. J. Fine and R. J. Evans to construct analogues of modular equations first discovered by S. Ramanujan. We then use these functions to construct new identities satisfied by Σn=0∞ p(ln+k)qn, with odd prime l and 0 ≤ k ≤ (l - 1). Our new partition identities are inspired by the work of O. Kolberg and Ramanujan.
Duke Authors
Cited Authors
- Chan, HH; Hahn, H; Lewis, RP; Tan, SL
Published Date
- September 1, 2002
Published In
Volume / Issue
- 9 / 5-6
Start / End Page
- 801 - 811
International Standard Serial Number (ISSN)
- 1073-2780
Citation Source
- Scopus