Article overview
Abstract
In this paper, using certain known modular equations, we have established certain modular identities which have been made use of, to evaluate certain theta functions. We shall attempt to evaluate Ramanujan's cubic continued fraction and also certain Ramanujan-Weber class invariants with the help of some of our results. The results established herein may prove useful in further investigations in the subject.
Keywords and Phrases
Modular identitiesmodular equationRamanujan's
theta functioncubic continued fractionRamanujan-Weber class invariants.
AMS Subject Classification
01A60, 01A75, 33A30.
Reference information
How to Cite
S.N.Singh, Satya Prakash Singh, Bindu Prakash Mishra, (2015). Certain Explicit Evaluation of Ramanujan's Theta Functions. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 4(1), 37-48.