Lily Shao

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20182020

most citedGeneralizations of a Curious Family of MSTD Sets Hidden By Interior Blocks

4 citations · 4 across the 4 of their papers we have counts for

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math.NT2020

Generalizing the Distribution of Missing Sums in Sumsets

Hung V. Chu, Dylan King, Noah Luntzlara +5

Given a finite set of integers $A$ , its sumset is $A + A := {a_{i} + a_{j} ∣ a_{i}, a_{j} \in A}$ . We examine $∣ A + A ∣$ as a random variable, where $A \subset I_{n} = [0, n - 1]$ , the set of integer…

math.NT2018★ 4 cited

Generalizations of a Curious Family of MSTD Sets Hidden By Interior Blocks

Hung Viet Chu, Noah Luntzlara, Steven J. Miller +1

A set $A$ is MSTD (more-sum-than-difference) or sum-dominant if $∣ A + A ∣ > ∣ A - A ∣$ , and is RSD (restricted-sum dominant) if $∣ A +^A ∣ > ∣ A - A ∣$ , where $A +^A$ is the set of sums of…

math.NT2018

Infinite Families of Partitions into MSTD Subsets

Hung Viet Chu, Noah Luntzlara, Steven J. Miller +1

A set $A$ is MSTD (more-sum-than-difference) if $∣ A + A ∣ > ∣ A - A ∣$ . Though MSTD sets are rare, Martin and O'Bryant proved that there exists a positive constant lower bound for the propo…