Samuel Zbarsky

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20132024

most citedUnimodality of Partitions in Near-Rectangular Ferrers Diagrams

2 citations · 10 across the 13 of their papers we have counts for

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math.CO2014★ 2 cited

Unimodality of Partitions in Near-Rectangular Ferrers Diagrams

Samuel Zbarsky

We look at the rank generating function $G_{λ}$ of partitions inside the Ferrers diagram of some partition $λ$ , investigated by Stanton in 1990, as well as a closely related problem…

math.CO2014

The Maximum Number of Subset Divisors of a Given Size

Samuel Zbarsky

If $s$ is a positive integer and $A$ is a set of positive integers, we say that $B$ is an $s$ -divisor of $A$ if $\sum_{b \in B} b ∣ s \sum_{a \in A} a$ . We study the maximal number…

math.CO2014

Distinct volume subsets

David Conlon, Jacob Fox, William Gasarch +3

Suppose that $a$ and $d$ are positive integers with $a \geq 2$ . Let $h_{a, d} (n)$ be the largest integer $t$ such that any set of $n$ points in $R^{d}$ contains a subset of $…