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ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS I
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 Title & Authors
ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS I
Yi, Jinhee; Cho, Man Gi; Kim, Jeong Hwan; Lee, Seong Hoi; Yu, Jae Myung; Paek, Dae Hyun;
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 Abstract
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 and and show some applications of the modular equations to evaluations of the cubic continued fraction and the theta function .
 Keywords
theta functions;modular equations;
 Language
English
 Cited by
1.
ON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS,;;

대한수학회보, 2013. vol.50. 4, pp.1315-1328 crossref(new window)
2.
ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS II,;;

대한수학회보, 2013. vol.50. 4, pp.1221-1233 crossref(new window)
1.
ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS II, Bulletin of the Korean Mathematical Society, 2013, 50, 4, 1221  crossref(new windwow)
2.
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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