On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups

DOI10.4064/aa210614-5-1zbMath1492.11115arXiv2101.12707OpenAlexW3127970549MaRDI QIDQ5073905

Oleg N. Karpenkov

Publication date: 4 May 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12707

zbMATH Keywords

Jacobi-Perron algorithmDirichlet groupKlein continued fractions

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Metric theory of continued fractions (11K50) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (1)

Continued fractions in the field of 𝑝-adic numbers

Cites Work

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• Cubic irrationals and periodicity via a family of multi-dimensional continued fraction algorithms
• Higher dimensional continued fractions
• Generalised Markov numbers
• On an invariant Möbius measure and the Gauss-Kuzmin face distribution
• Markov's Theorem and 100 Years of the Uniqueness Conjecture
• Constructing multidimensional periodic continued fractions in the sense of Klein
• On a multidimensional generalization of Lagrange's theorem on continued fractions
• On the periodic writing of cubic irrationals and a generalization of Rédei functions
• Numerische Ergebnisse zum JACOBIschen Kettenbruchalgorithmus in rein‐kubischen Zahlkörpern
• On the Product of Three Homogeneous Linear Forms (II)
• Geometry of continued fractions

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