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ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS II
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 Title & Authors
ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS II
Paek, Dae Hyun; Yi, Jinhee;
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 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 and 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;
 Language
English
 Cited by
1.
ON EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY A MODULAR EQUATION OF DEGREE 9,;;

한국수학교육학회지시리즈B:순수및응용수학, 2016. vol.23. 3, pp.223-236 crossref(new window)
2.
ON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS,;;

대한수학회보, 2013. vol.50. 4, pp.1315-1328 crossref(new window)
1.
ON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS, Bulletin of the Korean Mathematical Society, 2013, 50, 4, 1315  crossref(new windwow)
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