Dylan A. King

activity

20172026

most citedLarge Sets with Small Injective Projections

2 citations · 2 across the 7 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

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.FA2020

Extensions of Autocorrelation Inequalities with Applications to Additive Combinatorics

Sara Fish, Dylan King, Steven J. Miller

In a 2019 paper, Barnard and Steinerberger show that for $f \in L^{1} (R)$ , the following autocorrelation inequality holds: \begin{equation*} \min_{0 \leq t \leq 1} \int_\math…