On the Expansion of Ramanujan's Continued Fraction
- Cite this article as:
- Hirschhorn, M.D. The Ramanujan Journal (1998) 2: 521. doi:10.1023/A:1009789012006
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If Ramanujan's continued fraction (or its reciprocal) is expanded as a power series, the sign of the coefficients is (eventually) periodic with period 5. We give combinatorial interpretations for the coefficients from which the result is immediate. We make use of the quintuple product identity, which we prove.