Two Theta Function Identities and Some Eisenstein Series Identities of Ramanujan
Two Theta Function Identities and Some Eisenstein Series Identities of Ramanujan
In this paper we prove two general theta function identities by using the complex variable theory of elliptic functions.As applications, we provide completely new proofs of some Eisenstein series identities of Ramanujan by these two theta function identities and one famous identity of Ramanujan for the Rogers-Ramanujan continued fraction.We also …