3 citations · 7 across the 8 of their papers we have counts for
4 papers · 2 filters
Nuclear partitions and a formula for
Robert Schneider
Define a "nuclear partition" to be an integer partition with no part equal to one. In this study we prove a simple formula to compute the partition function by counting only…
Sequentially congruent partitions and partitions into squares
Robert Schneider, James A. Sellers, Ian Wagner
In recent work, M. Schneider and the first author studied a curious class of integer partitions called "sequentially congruent" partitions: the th part is congruent to the $(m+1…
Analysis and combinatorics of partition zeta functions
Robert Schneider, Andrew V. Sills
We examine "partition zeta functions" analogous to the Riemann zeta function but summed over subsets of integer partitions. We prove an explicit formula for a family of partition z…
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…