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A note on modular equations of signature 2 and their evaluations
Belakavadi Radhakrishna Srivatsa Kumar,Arjun Kumar Rathie,Nagara Vinayaka Udupa Sayinath,SHRUTHI 대한수학회 2022 대한수학회논문집 Vol.37 No.1
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.