Justin Cheigh

activity

20222024

most citedAn invitation to Fibonacci digits

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.HO2024★ 1 cited

An invitation to Fibonacci digits

Justin Cheigh, Guilherme Zeus Dantas e Moura, Jacob Lehmann Duke +6

The purpose of this short note is to show the interplay between math outreach and conducting original research, in particular how each can build off the other.

math.CO2023

VC-Dimension of Hyperplanes over Finite Fields

Ruben Ascoli, Livia Betti, Justin Cheigh +8

Let $F_{q}^{d}$ be the $d$ -dimensional vector space over the finite field with $q$ elements. For a subset $E \subseteq F_{q}^{d}$ and a fixed nonzero $t \in F_{q}$ ,…

math.CO2022

Towards the Gaussianity of Random Zeckendorf Games

Justin Cheigh, Guilherme Zeus Dantas e Moura, Ryan Jeong +4

Zeckendorf proved that any positive integer has a unique decomposition as a sum of non-consecutive Fibonacci numbers, indexed by $F_{1} = 1, F_{2} = 2, F_{n + 1} = F_{n} + F_{n - 1}$ . Motiva…

math.NT2022

Sum and Difference Sets in Generalized Dihedral Groups

Ruben Ascoli, Justin Cheigh, Guilherme Zeus Dantas e Moura +6

Given a group $G$ , we say that a set $A \subseteq G$ has more sums than differences (MSTD) if $∣ A + A ∣ > ∣ A - A ∣$ , has more differences than sums (MDTS) if $∣ A + A ∣ < ∣ A - A ∣$ , or is sum-d…