Ariana Park

collaborators

2 papers

math.NT2023

Short Interval Results For Powerfree Polynomials Over Finite Fields

Angel Kumchev, Nathan McNew, Ariana Park

Let $k \geq 2$ be an integer and $F_{q}$ be a finite field with $q$ elements. We prove several results on the distribution in short intervals of polynomials in $\mathbb F_q[x…

math.NT2022

Explicit bounds for large gaps between squarefree integers

Angel Kumchev, Wade McCormick, Nathan McNew +3

We obtain explicit forms of the current best known asymptotic upper bounds for gaps between squarefree integers. In particular we show, for any $x \geq 2$ , that every interval of th…