[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.1.263

ON EVALUATIONS OF THE MODULAR j-INVARIANT BY MODULAR EQUATIONS OF DEGREE 2

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.52, no.1, 2015 , pp. 263-273 More about this Journal

Abstract

We derive modular equations of degree 2 to establish explicit relations for the parameterizations for the theta functions ${\varphi}$ and ${\psi}$ . We then find specific values of the parameterizations to evaluate some new values of the modular j-invariant in terms of $J_n$ .

Keywords

theta functions; modular equations; modular j-invariant;

Citations & Related Records

Reference

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