On Some Ramanujan Identities for the Ratios of Eta-Functions
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.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 8, pp 1131-1151.
Citation Example: Bhargava S., Rajanna K. R., Vasuki K. R. On Some Ramanujan Identities for the Ratios of Eta-Functions // Ukr. Mat. Zh. - 2014. - 66, № 8. - pp. 1011–1028.