[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2013.50.4.1315

ON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS

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. 1315-1328 More about this Journal

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 ${\varphi}$ and ${\psi}$ 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;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

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