28 citations · 247 across the 41 of their papers we have counts for
42 papers
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What follows is a lightly edited version of the author's unpublished master's essay, submitted in partial fulfillment of the requirements of the degree of Master of Arts at the Pen…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…
Process, Population, and Sample: the Researcher's Interest
Charles W. Champ, Andrew V. Sills
A case is made that researchers are interested in studying processes. Often the inferences they are interested in making are about the process and its associated population. On oth…
Combinatorial formulas for arithmetic density
Robert Schneider, Andrew V. Sills
Let denote the arithmetic density of a subset . We derive a power series in , , with coëfficients related to integer partitions…
A refinement of the binomial distribution using the quantum binomial theorem
Andrew V. Sills
-analogs of special functions, including hypergeometric functions, play a central role in mathematics and have numerous applications in physics. In the theory of probability, $q…
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…