Mark L. Lewis

collaborators

3 papers

math.NT2025

Values of Ducci Periods for Sequences on $Z_{m}^{n}$

Mark L. Lewis, Shannon M. Tefft

Let $D : Z_{m}^{n} \to Z_{m}^{n}$ be defined so that \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] W…

math.NT2025

Examining $H$ -Closed Ducci Sequences on $Z_{m}^{n}$

Mark L. Lewis, Shannon M. Tefft

Let $D$ be an endomorphism on $Z_{m}^{n}$ so that \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] We call…

math.NT2024

The Maximum Length for Ducci Sequences on $Z_{m}^{n}$ when $n$ is Even

Mark L. Lewis, Shannon M. Tefft

Let $D : Z_{m}^{n} \to Z_{m}^{n}$ be defined so \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] $D$ is…

Values of Ducci Periods for Sequences on Zmn​

Examining H-Closed Ducci Sequences on Zmn​

The Maximum Length for Ducci Sequences on Zmn​ when n is Even

Values of Ducci Periods for Sequences on $Z_{m}^{n}$

Examining $H$ -Closed Ducci Sequences on $Z_{m}^{n}$

The Maximum Length for Ducci Sequences on $Z_{m}^{n}$ when $n$ is Even