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arXiv · 2101.12627

On a periodic Jacobi-Perron type algorithm

Oleg Karpenkov
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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.

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Oleg Karpenkov. 2021-01-29. On a periodic Jacobi-Perron type algorithm. https://arxiv.org/abs/2101.12627

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