A Combinatorial Proof of an Identity from Ramanujan's Lost Notebook
نویسندگان
چکیده
In this note, we present a new combinatorial proof of an identity originally stated in Ramanujan’s lost notebook by keeping track of an extra statistic in Yee’s bijection for a special case of this identity.
منابع مشابه
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, and Wright, and applications of Algorithm Z of Zeilberger 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.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 20 شماره
صفحات -
تاریخ انتشار 2013