Partitions with Early Conditions [chapter]

George E. Andrews
2013 Advances in Combinatorics  
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.
doi:10.1007/978-3-642-30979-3_3 fatcat:z2xjwok7enfi3jhf7wosjakhey