28 citations · 147 across the 20 of their papers we have counts for
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Derivation of Identities of the Rogers--Ramanujan Type by the Method of Constant Terms
Andrew V. Sills
What follows is a lightly edited version of the author's unpublished master's essay, submitted in partial fulfillment of the requirements of the degree of Master of Arts at the Pen…
Composition-theoretic series in partition theory
Robert Schneider, Andrew V. Sills
We use sums over integer compositions analogous to generating functions in partition theory, to express certain partition enumeration functions as sums over compositions into parts…
Towards an automation of the circle method
Andrew V. Sills
The derivation of the Hardy-Ramanujan-Rademacher formula for the number of partitions of is reviewed. Next, the steps for finding analogous formulas for certain restricted clas…
The product of parts or "norm" of a partition
Andrew V. Sills, Robert Schneider
In this article we study the "norm" of an integer partition, which we define to be the product of the parts. This partition-theoretic statistic has appeared here and there in the l…
Rogers-Ramanujan-Slater Type Identities
James Mc Laughlin, Andrew V. Sills, Peter Zimmer
In this survey article, we present an expanded version of Lucy Slater's famous list of identities of the Rogers-Ramanujan type, including identities of similar type, which were dis…
On a pair of identities from Ramanujan's lost notebook
James Mc Laughlin, Andrew V. Sills
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as inspiration, we find some new identities of similar type. Each identity immedia…