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