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http://dx.doi.org/10.4134/BKMS.2013.50.4.1221

ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS II  

Paek, Dae Hyun (Department of Mathematics Education Busan National University of Education)
Yi, Jinhee (Department of Mathematics and Computer Science Korea Science Academy of KAIST)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1221-1233 More about this Journal
Abstract
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 ${\varphi}$ and ${\psi}$ In addition, we find specific values of the parameterizations to evaluate some numerical values of the cubic continued fraction.
Keywords
theta functions; modular equations; continued fractions;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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