Olivia Beckwith

activity

20112026

most citedThe Average Gap Distribution for Generalized Zeckendorf Decompositions

26 citations · 52 across the 18 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022

Theta-type congruences for colored partitions

Olivia Beckwith, Alexander Caione, Jack Chen +3

We investigate congruence relations of the form $p_{r} (ℓ mn + t) \equiv 0 (mod ℓ)$ for all $n$ , where $p_{r} (n)$ is the number of $r$ -colored partitions of $n$ and $m, ℓ$ are…

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.NT2022

Integer partitions with large Dyson rank

Colin Alberts, Olivia Beckwith, Irfan Demetoglu +3

The Dyson rank of an integer partition is the difference between its largest part and the number of parts it contains. Using Fine-Dyson symmetry, we give formulas for the number of…