Elena Kim

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20192025

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math.NT2020

Constructions of Generalized MSTD Sets in Higher Dimensions

Elena Kim, Steven J. Miller

Let $A$ be a set of finite integers, define $A + A = {a_{1} + a_{2} : a_{1}, a_{2} \in A}, A - A = {a_{1} - a_{2} : a_{1}, a_{2} \in A},$ and for non-negative integers $s$ and $d$ define $…

math.NT2020

Tinkering with Lattices: A New Take on the Erdős Distance Problem

Elzbieta Boldyriew, Elena Kim, Steven J. Miller +4

The Erdős distance problem concerns the least number of distinct distances that can be determined by $N$ points in the plane. The integer lattice with $N$ points is known as \texti…