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JCT
2010
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13 years 5 months ago
Ramanujan's lost notebook: Combinatorial proofs of identities associated with Heine's transformation or partial theta functions
Combinatorial proofs are given for certain entries in Ramanujan’s lost notebook. Bijections of Sylvester, Franklin, Wright, and Yee are employed. A new bijection, involving the n...
Bruce C. Berndt, Byungchan Kim, Ae Ja Yee
JCT
2007
149views more  JCT 2007»
13 years 6 months ago
Weighted forms of Euler's theorem
In answer to a question of Andrews about finding combinatorial proofs of two identities in Ramanujan’s “lost” notebook, we obtain weighted forms of Euler’s theorem on part...
William Y. C. Chen, Kathy Q. Ji