On the 2- and 4-dissections of Ramanujan’s continued fraction and its reciprocal
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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.
Keywords2-dissection 4-dissection Ramanujan’s continued fraction List of forty
Mathematics Subject Classification (2000)11A55
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