We give direct proofs of some of Ramanujan’s P-Q modular equations based on simply proved elementary identities from Chapter 16 of his Second Notebook.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 8, pp. 1011–1028, August, 2014.
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Bhargava, S., Vasuki, K.R. & Rajanna, K.R. On Some Ramanujan Identities for the Ratios of Eta-Functions. Ukr Math J 66, 1131–1151 (2015). https://doi.org/10.1007/s11253-015-0999-y
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DOI: https://doi.org/10.1007/s11253-015-0999-y