2 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 , we prove that there…
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 -continued fraction, characterized by the property that its convergents (a subseque…