Faye Jackson

activity

20212023

most citedUnexpected Biases between Congruence Classes for Parts in k-indivisible Partitions

6 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

math.CO2023

Parts in $k$ -indivisible Partitions Always Display Biases between Residue Classes

Faye Jackson, Misheel Otgonbayar

Let $k, t$ be coprime integers, and let $1 \leq r \leq t$ . We let $D_{k}^{\times} (r, t; n)$ denote the total number of parts among all $k$ -indivisible partitions (i.e., those partitions…

math.CO2022★ 6 cited

Unexpected Biases between Congruence Classes for Parts in k-indivisible Partitions

Faye Jackson, Misheel Otgonbayar

For integers $k, t \geq 2$ , and $1 \leq r \leq t$ let $D_{k}^{\times} (r, t; n)$ be the number of parts among all $k$ -indivisible partitions of $n$ (i.e., partitions where all parts are not…

math.CO2022

Biases among Congruence Classes for Parts in k-regular Partitions

Faye Jackson, Misheel Otgonbayar

For integers $k, t \geq 2$ and $1 \leq r \leq t$ let $D_{k} (r, t; n)$ be the number of parts among all $k$ -regular partitions (i.e., partitions of $n$ where all parts have multiplicity l…

math.CO2021

Irreducibility over the Max-Min Semiring

Benjamin Baily, Justine Dell, Henry L. Fleischmann +4

For sets $A, B \subset N$ , their sumset is $A + B := {a + b : a \in A, b \in B}$ . If we cannot write a set $C$ as $C = A + B$ with $∣ A ∣, ∣ B ∣ \geq 2$ , then we say that $C$ is $\tex…

math.NT2021★ 1 cited

The Generalized Bergman Game

Benjamin Baily, Justine Dell, Irfan Durmić +8

Every positive integer may be written uniquely as a base- $β$ decomposition--that is a legal sum of powers of $β$ --where $β$ is the dominating root of a non-increasing positive line…

math.PR2021

Limiting Spectral Distributions of Families of Block Matrix Ensembles

Teresa Dunn, Henry L. Fleischmann, Faye Jackson +5

We introduce a new matrix operation on a pair of matrices, $swirl (A, X),$ and discuss its implications on the limiting spectral distribution. In a special case, the resultant…

math.CO2021

Distinct Angle Problems and Variants

Henry L. Fleischmann, Hongyi B. Hu, Faye Jackson +4

The Erdős distinct distance problem is a ubiquitous problem in discrete geometry. Less well known is Erdős' distinct angle problem, the problem of finding the minimum number of dis…

Parts in k-indivisible Partitions Always Display Biases between Residue Classes

Unexpected Biases between Congruence Classes for Parts in k-indivisible Partitions

Biases among Congruence Classes for Parts in k-regular Partitions

Irreducibility over the Max-Min Semiring

The Generalized Bergman Game

Limiting Spectral Distributions of Families of Block Matrix Ensembles

Distinct Angle Problems and Variants

Parts in $k$ -indivisible Partitions Always Display Biases between Residue Classes