Abstract
In his first notebook, in scattered places, Ramanujan recorded without proofs the values of over 100 class invariants and over 30 singular moduli. This paper is devoted to establishing all of Ramanujan's representations for singular moduli. For those of odd index, new algorithms needed to be developed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 53-74 |
| Number of pages | 22 |
| Journal | Ramanujan Journal |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1997 |
Keywords
- Modular equations
- Ramanujan-Weber class invariants
- Singular moduli
- Theta-functions
ASJC Scopus subject areas
- Algebra and Number Theory