ON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS
We first derive several modular equations of degree 5 and present their concise proofs based on algebraic computations. We then establish explicit relations and formulas for some parameterizations for the theta functions phi and psi by using the derived modular equations. In addition, we find specific values of the parameterizations and evaluate some numerical values of the Rogers-Ramanujan continued fraction.
- Publisher
- KOREAN MATHEMATICAL SOC
- Issue Date
- 2013-07
- Language
- English
- Article Type
- Article
- Keywords
RAMANUJAN CONTINUED-FRACTION; EXPLICIT FORMULAS; THETA-FUNCTION
- Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.4, pp.1315 - 1328
- ISSN
- 1015-8634
- Appears in Collection
- RIMS Journal Papers
- Files in This Item
- There are no files associated with this item.
This item is cited by other documents in WoS
| ⊙ Detail Information in WoSⓡ | Click to see |  |
| ⊙ Cited 4 items in WoS | Click to see citing articles in |  |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.