ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS I
We derive several modular equations and present their proofs based on concise algebraic computations. In addition, we establish explicit relations and formulas for some parameterizations for the theta functions phi and and psi show some applications of the modular equations to evaluations of the cubic continued fraction and the theta function psi.
- Publisher
- KOREAN MATHEMATICAL SOC
- Issue Date
- 2013-05
- Language
- English
- Article Type
- Article
- Keywords
EXPLICIT FORMULAS; THETA-FUNCTION
- Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.3, pp.761 - 776
- ISSN
- 1015-8634
- Appears in Collection
- RIMS Journal Papers
- Files in This Item
- There are no files associated with this item.
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