International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 10, Pages 627-633

A new proof of some identities of Bressoud

Robin Chapman

School of Mathematical Sciences, University of Exeter, Exeter EX4 4QE, UK

Received 18 October 2001

Copyright © 2002 Robin Chapman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We provide a new proof of the following two identities due to Bressoud: m=0Nqm2[Nm]=m=(1)mqm(5m+1)/2[2NN+2m], m=0Nqm2+m[Nm]=(1/(1qN+1))m=(1)m×qm(5m+3)/2[2N+2N+2m+2], which can be considered as finite versions of the Rogers-Ramanujan identities.