On Ramanujan's Eisenstein series identities

Thippesha Anusha, Eshwar Nalige Bhuvan

Ramanujan's work was inspiring and distinguishable from those of his predecessors as he wrote many theorems, but he proved very few. In this paper, we make use of P-Q theta function identities written by Ramanujan and we offer new proofs to Eisenstein series identities of level 14 developed by Cooper and Ye, where the proofs were presented using modular forms. Analogously, we derive certain new Eisenstein series identities of level 14.