Two Modular Equationsfor Squares of the Cubic-functions with Applications


In this paper, we derive two modular identities for cubic functions and are shown to be connected to the Ramanujan cubic continued fraction G(q). Also we have derived many theta function identities which play an important role in proving Ramanujan’s modular equations of degree 3.

DOI Code: 10.1285/i15900932v30n2p61

Keywords: Cubic function; Ramanujan cubic continued fraction; Theta function identities related to modular equations of degree 3.

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