Chan's Cubic Analogue of Ramanujan's "most beautiful identity" for p(5n+4)

Abstract

New proof for Chan’s cubic analogue of Ramanujan’s “most beautiful identity” about the generating function for p(5n + 4) is presented and four equations satisfied by Ramanujan’s cubic continued fraction are reviewed by means of Weierstrass’ three-term relation for classical theta functions.

Keywords

• ramanujan’s “most beautiful identity”
• ramanujan’s cubic continued fraction
• jacobi’s triple product identity
• weierstrass’ three-term relation