A. Berger

activity

20172026

most cited

K_{4}

-intersecting families of graphs

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CO2018

Modified Erdös--Ginzburg--Ziv Constants for $Z / n Z$ and $(Z / n Z)^{2}$

Aaron Berger, Danielle Wang

For an abelian group $G$ and an integer $t > 0$ , the \emph{modified Erdös--Ginzburg--Ziv constant} $s_{t}^{'} (G)$ is the smallest integer $ℓ$ such that any zero-sum sequence of lengt…

math.NT2018

On Gaps in the Closures of Images of Divisor Functions

Niven Achenjang, Aaron Berger

Given a complex number $c$ , define the divisor function $σ_{c} : N \to C$ by $σ_{c} (n) = \sum_{d ∣ n} d^{c}$ . In this paper, we look at $σ_{- r} (N)$ , the top…

math.CO2018

On the Distribution of Range for Tree-Indexed Random Walks

Aaron Berger, Caleb Ji, Erik Metz

We study tree-indexed random walks as introduced by Benjamini, Häggström, and Mossel, i.e. labelings of a tree for which adjacent vertices have labels differing by 1. It is a conje…

Modified Erdös--Ginzburg--Ziv Constants for Z/nZ and (Z/nZ)2

On Gaps in the Closures of Images of Divisor Functions

On the Distribution of Range for Tree-Indexed Random Walks

Modified Erdös--Ginzburg--Ziv Constants for $Z / n Z$ and $(Z / n Z)^{2}$