J. Saunders

collaborators

2 papers

math.NT2025

Residues of Terms of Lucas Sequences Modulo $3^{k}$

J. C. Saunders, R. Nicholas Stephens

The Fibonacci sequence defined by $F_{0} = 0$ , $F_{1} = 1$ , and $F_{n} = F_{n - 1} + F_{n - 2}$ has a shortest period length of $4 \cdot 3^{k - 1}$ modulo $3^{k}$ for every $k \in N$ . In 2011, Bun…

math.RA2024

Exploiting degeneracy in projective geometric algebra

John Bamberg, Jeff Saunders

The last two decades, since the seminal work of Selig, has seen projective geometric algebra (PGA) gain popularity as a modern coordinate-free framework for doing classical Euclide…

Residues of Terms of Lucas Sequences Modulo 3k

Exploiting degeneracy in projective geometric algebra

Residues of Terms of Lucas Sequences Modulo $3^{k}$