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 new concept of the parity sequence of a partition, is used to prove one of Ramanujan’s fascinating identities for a partial theta function.

• Type: Journal
• Year: 2010
• Where: JCT
• Authors: Bruce C. Berndt, Byungchan Kim, Ae Ja Yee
• Keywords: Certain Entries, Combinatorial Proofs, JCT 2010, Partial Theta Function