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.
Partially supported by National Science Foundation Grant DMS-0801184
In honor of my friend, Herb Wilf, on the occasion of his 80th birthday.
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© 2013 Springer-Verlag Berlin Heidelberg
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Andrews, G.E. (2013). Partitions with Early Conditions. In: Kotsireas, I., Zima, E. (eds) Advances in Combinatorics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30979-3_3
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DOI: https://doi.org/10.1007/978-3-642-30979-3_3
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