Partitions with Early Conditions

George E. Andrews ()
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George E. Andrews: The Pennsylvania State University, Department of Mathematics

A chapter in Advances in Combinatorics, 2013, pp 57-76 from Springer

Abstract: Abstract In an earlier paper, partitions in which the smaller parts were required to appear at least k-times were considered. Some of those results were tied up with Rogers-Ramanujan type identities and mock theta functions. By considering more general conditions on initial parts we are led to natural explanations of many more identities contained in Slater’s compendium of 130 Rogers-Ramanujan identities.

Date: 2013
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DOI: 10.1007/978-3-642-30979-3_3

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