2 papers
math.NT2026
On periods of the Tribonacci sequence modulo primes
Liam Baker, Florian Luca, Kerry Porrill
In this paper, we study the -adic zeros of the Tribonacci sequence , for a prime . In particular, we complete the analysis that was done in a 2024 paper of Yuri Bilu by…
math.RA2024
On structures of the ring of arithmetical functions: prime ideals and beyond
Amartya Goswami, Danielle Kleyn, Kerry Porrill
The aim of these notes is to study some of the structural aspects of the ring of arithmetical functions. We prove that this ring is neither Noetherian nor Artinian. Furthermore, we…