On a periodic Jacobi-Perron type algorithm



Karpenkov, Oleg ORCID: 0000-0002-3358-6998
(2021) On a periodic Jacobi-Perron type algorithm. [Preprint]

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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.

Item Type: Preprint
Additional Information: 59 pages
Uncontrolled Keywords: math.NT, math.NT, 11R16, 11H99, 11A05
Depositing User: Symplectic Admin
Date Deposited: 10 Feb 2021 11:29
Last Modified: 18 Jan 2023 23:00
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3115425