Families of periodic Jacobi-Perron algorithms for all period lengths

DOI10.1016/j.jnt.2016.04.003zbMath1401.11011arXiv1505.04721OpenAlexW299657081MaRDI QIDQ301462

Paul M. Voutier

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04721

zbMATH Keywords

Jacobi-Perron algorithmsmulti-dimensional continued fractionsperiodic expansions

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55)

Related Items (2)

Periodic Jacobi-Perron expansions associated with a unit. II ⋮ Periodic Jacobi-Perron algorithms in cubic fields and fundamental units

Cites Work

• Two families of periodic Jacobi algorithms with period lengths going to infinity
• Une application des nombres de Pisot à l'algorithme de Jacobi-Perron
• A class of periodic Jacobi-Perron algorithms in pure algebraic number fields of degree \(n\geq 3\)
• The Jacobi-Perron algorithm its theory and application
• Voronoi-Algorithm Expansion of Two Families with Period Length Going to Infinity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Families of periodic Jacobi-Perron algorithms for all period lengths