, Volume 24, Issue 1, pp 85-92
Date: 24 Nov 2010

On the 2- and 4-dissections of Ramanujan’s continued fraction and its reciprocal

Abstract

We present elementary proofs, using only Jacobi’s triple product identity, of four identities of Ramanujan and eight identities of Hirschhorn relating to the 2-dissection and the 4-dissection of Ramanujan’s continued fraction and its reciprocal, and of two identities from Ramanujan’s famous list of forty.