Faye Jackson

activity

20212023

collaborators

3 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

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…

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

Biases among Congruence Classes for Parts in k-regular Partitions

Irreducibility over the Max-Min Semiring

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