Work

Elementary remarks about Pisano periods

Year: 2022

Type: preprint

Abstract: In this short note, we reprove in a very elementary way some known facts about Pisano periods as well as some considerations about the link between Pisano periods and the order of roots of the characteristic equation. The technics only requires a small background in ring theory (merely the definition of a commutative ring). The tools set here can be reused for all linear recurrences with quadratic non-constant characteristic equation.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2206.07095

Authors: Duchamp, Gérard Henry Edmond, Simonnet, Pierre

Institutions: Université Sorbonne Paris Nord, Laboratoire d'Informatique de Paris-Nord, Université de Corse Pascal Paoli, Centro Universitário União Dinâmica das Cataratas

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4283021372

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