Quelques éléments sur le nombre de quiddités sur les anneaux ℤ/Nℤ

authored by

Michael Cuntz, Flavien Mabilat

Abstract

The λ-quiddities of size n are n-tuples of elements of a fixed set, solutions of a matrix equation appearing in the study of Coxeter friezes. These can be considered on various sets with very different structures from one set to another. The objective of this text is to obtain some results concerning the number of λ-quiddities of size n when we work over the ring ℤ/Nℤ, especially in the case when N is prime.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Universite de Reims Champagne-Ardenne

Type

Preprint

No. of pages

21

Publication date

06.04.2023

Publication status

E-pub ahead of print

Electronic version(s)

https://doi.org/10.48550/arXiv.2304.03071 (Access: Open)