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Peter Zimmer
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Department of Mathematics
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Assistant Professor, Department of Mathematics,
West Chester University of Pennsylvania
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Featured Works
Featured Works
(4)
Article
Some Implications of Chu's 10ψ10 Generalization of Bailey's ...
Online Journal of Analytic Combinatorics (2010)
James McLaughlin, Andrew Sills and Peter Zimmer
Lucy Slater used Bailey's 6ψ6 summation formula to derive the Bailey pairs she used to construct her famous list of ...
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Article
Rogers-Ramanujan Computer Searches
Journal of Symbolic Compuation (2009)
James McLaughlin, Andrew Sills and Peter Zimmer
We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of ...
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Article
Lifting Bailey Pairs to WP-Bailey Pairs
Discrete Mathematics (2009)
James McLaughlin, Andrew Sills and Peter Zimmer
A pair of sequences (αn(a,k,q),βn(a,k,q)) such that α0(a,k,q)=1 and βn(a,k,q)=∑nj=0(k/a;q)n−j(k;q)n+j(q;q)n−j(aq;q)n+jαj(a,k,q) is termed aWP-Bailey Pair . Upon setting k=0 in such ...
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Article
Rogers-Ramanujan-Slater Type Identities
Electronic Journal of Combinatorics (2008)
James McLaughlin, Andrew Sills and Peter Zimmer
In this survey article, we present an expanded version of Lucy Slater's famous list of identities of the Rogers-Ramanujan type, ...
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