ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS II
We first derive some modular equations of degrees 3 and 9 and present their concise proofs based on algebraic computations. We then use these modular equations to establish explicit relations and formulas for the parameterizations for the theta functions phi and psi. In addition, we find specific values of the parameterizations to evaluate some numerical values of the cubic continued fraction.
- Publisher
- KOREAN MATHEMATICAL SOC
- Issue Date
- 2013-07
- Language
- English
- Article Type
- Article
- Keywords
EXPLICIT FORMULAS; THETA-FUNCTION
- Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.4, pp.1221 - 1233
- ISSN
- 1015-8634
- Appears in Collection
- RIMS Journal Papers
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