Olivia Beckwith

activity

20122022

most citedThe Average Gap Distribution for Generalized Zeckendorf Decompositions

26 citations · 26 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2022

Congruences of Hurwitz class numbers on square classes

Olivia Beckwith, Martin Raum, Olav Richter

We extend a holomorphic projection argument of our earlier work to prove a novel divisibility result for non-holomorphic congruences of Hurwitz class numbers. This result allows us…

math.NT2018

Class number divisibility for imaginary quadratic fields

Olivia Beckwith

In this note we revisit classic work of Soundararajan on class groups of imaginary quadratic fields. Let $A, B, g \geq 3$ be positive integers such that $g cd (A, B)$ is square-free. We…

math.NT2012★ 26 cited

The Average Gap Distribution for Generalized Zeckendorf Decompositions

Olivia Beckwith, Amanda Bower, Louis Gaudet +4

An interesting characterization of the Fibonacci numbers is that, if we write them as $F_{1} = 1$ , $F_{2} = 2$ , $F_{3} = 3$ , $F_{4} = 5, ...$ , then every positive integer can be written un…