Zachary A. Chase

activity

20162026

most citedCollision Recovery Control of a Foldable Quadrotor

17 citations · 37 across the 17 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2022

On the length of Pierce expansions

Zachary Chase, Mayank Pandey

For a given positive integer $n$ , how long can the process $x \mapsto n (mod x)$ last before reaching $0$ ? We improve Erdős and Shallit's upper bound of $O(n^{\frac{…

math.NT2022

On sumsets containing a perfect square

Zachary Chase

We show $A + B$ contains a perfect square if $A, B \subseteq {1, \dots, N}$ have $∣ A ∣, ∣ B ∣ \geq (\frac{3}{8} + ε) N$ . The constant $\frac{3}{8}$ is optimal.

math.NT2016★ 1 cited

On the Iterates of Digit Maps

Zachary Chase

Given a base $b$ , a "digit map" is a map $f : Z^{\geq 0} \to Z^{\geq 0}$ of the form $f (\sum_{i = 0}^{n} a_{i} b^{i}) = \sum_{i = 0}^{n} f_{*} (a_{i})$ , $0 \leq a_{i} \leq b - 1$ for each $…