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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 10, Pages 627-633
doi:10.1155/S0161171202110155

A new proof of some identities of Bressoud

Robin Chapman

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

Abstract

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/(1−qN+1))∑m=−∞∞(−1)m×qm(5m+3)/2 [ 2N+2N+2m+2], which can be considered as finite versions of the Rogers-Ramanujan identities.