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ON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS
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 Title & Authors
ON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS
Paek, Dae Hyun; Yi, Jinhee;
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 Abstract
We first derive several modular equations of degree 5 and present their concise proofs based on algebraic computations. We then establish explicit relations and formulas for some parameterizations for the theta functions and by using the derived modular equations. In addition, we find specific values of the parameterizations and evaluate some numerical values of the Rogers-Ramanujan continued fraction.
 Keywords
theta functions;modular equations;continued fractions;
 Language
English
 Cited by
 References
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