On a periodic Jacobi-Perron type algorithm
Number Theory
2021-02-17 v2
Abstract
In this paper we introduce a new modification of the Jacobi-Perron algorithm in three dimensional case and prove its periodicity for the case of totally-real conjugate cubic vectors. This provides an answer in the totally-real case to the question son algebraic periodicity for cubic irrationalities posed in 1849 by Ch.~Hermite.
Cite
@article{arxiv.2101.12627,
title = {On a periodic Jacobi-Perron type algorithm},
author = {Oleg Karpenkov},
journal= {arXiv preprint arXiv:2101.12627},
year = {2021}
}
Comments
59 pages