A. Woodall

activity

20212024

collaborators

3 papers

math.NT2024

Arithmetic Polygons and Sums of Consecutive Squares

Jack Anderson, Amy Woodall, Alexandru Zaharescu

We introduce and study arithmetic polygons. We show that these arithmetic polygons are connected to triples of square pyramidal numbers. For every odd $N \geq 3$ , we prove that there…

math.NT2023

The Weil bound for generalized Kloosterman sums of half-integral weight

Nickolas Andersen, Gradin Anderson, Amy Woodall

Let $L$ be an even lattice of odd rank with discriminant group $L^{'} / L$ , and let $α, β \in L^{'} / L$ . We prove the Weil bound for the Kloosterman sums $S_{α, β} (m, n, c)$ of half-integral wei…

math.NT2021

Non-convex geometry of numbers and continued fractions

Nickolas Andersen, William Duke, Zach Hacking +1

In recent work, the first two authors constructed a generalized continued fraction called the $p$ -continued fraction, characterized by the property that its convergents (a subseque…