Title of article
Ramanujanʹs lost notebook: Combinatorial proofs of identities associated with Heineʹs transformation or partial theta functions
Author/Authors
Berndt، نويسنده , , Bruce C. and Kim، نويسنده , , Byungchan and Yee، نويسنده , , Ae Ja، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
17
From page
957
To page
973
Abstract
Combinatorial proofs are given for certain entries in Ramanujanʹs 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 Ramanujanʹs fascinating identities for a partial theta function.
Keywords
Integer partitions , Combinatorial proofs , Heineיs transformation , Partial theta functions , Ramanujanיs lost notebook
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2010
Journal title
Journal of Combinatorial Theory Series A
Record number
1531518
Link To Document