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math.CO2009
50 Years of Bailey's lemma
S. Ole Warnaar
This is a paper published in 2001 based on a talk given in 1999 celebrating the 50th anniversary of W. N. Bailey's influential q-series paper "Identities of the Rogers-Ramanujan ty…
math.CO2001
Partial-sum analogues of the Rogers-Ramanujan identities
S. Ole Warnaar
A new type of polynomial analogue of the Rogers-Ramanujan identities is proven. Here the product-side of the Rogers-Ramanujan identities is replaced by a partial theta sum and the…
math.CO2000
The generalized Borwein conjecture. I. The Burge transform
S. Ole Warnaar
Given an arbitrary ordered pair of coprime integers (a,b) we obtain a pair of identities of the Rogers--Ramanujan type. These identities have the same product side as the (first) A…