New modular equations of signature three in the spirit of Ramanujan

Belakavadi Radhakrishna Srivatsa Kumar, Shruthi Shruthi


Srinivasa Ramanujan recorded many modular equations in his notebooks, which 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 three  by using theta function identities of composite degrees.


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