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http://dx.doi.org/10.4134/CKMS.c200459

A NOTE ON MODULAR EQUATIONS OF SIGNATURE 2 AND THEIR EVALUATIONS  

Kumar, Belakavadi Radhakrishna Srivatsa (Department of Mathematics Manipal Academy of Higher Education Manipal Institute of Technology)
Rathie, Arjun Kumar (Department of Mathematics Vedant College of Engineering & Technology Rajasthan Technical University)
Sayinath, Nagara Vinayaka Udupa (Department of Mathematics Manipal Academy of Higher Education Manipal Institute of Technology)
Shruthi, Shruthi (Department of Mathematics Manipal Academy of Higher Education Manipal Institute of Technology)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.1, 2022 , pp. 31-43 More about this Journal
Abstract
In his notebooks, Srinivasa Ramanujan recorded several modular equations that are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature 2 by well-known and useful theta function identities of composite degrees. Further, as an application of this, we evaluate theta function identities.
Keywords
Modular equations; theta functions;
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