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arXiv · 1502.04231

A two-dimensional continued fractions algorithm with Lagrange and Dirichlet properties

Christian Drouin
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Abstract

A Lagrange Theorem in dimension 2 is proved, for a particular two-dimensional algorithm, with a very natural geometrical definition. Dirichlet-type properties for the convergence of the algorithm are also proved. These properties procced from a geometrical quality of the algorithm. Some refercences are given to the works of various authors, in the domain of multidimensional continued fractions algorithms.

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Christian Drouin. 2015-02-14. A two-dimensional continued fractions algorithm with Lagrange and Dirichlet properties. https://arxiv.org/abs/1502.04231

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