A note on modular equations of signature 2 and their evaluations
Commun. Korean Math. Soc.
Published online July 5, 2021
B R S Kumar, A K Rathie, N V Udupa Sayinath, and Shruthi .
MANIPAL INSTITUTE OF TECHNOLOGY; Vedant College of Engineering & Technology; Manipal Institute of Technology; MANIPAL INSTITUTE OF TECHNOLOGY
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 two 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 function
MSC numbers : Primary 11F03, 11F27, Secondary 14H42.
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