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arXiv · 2207.06093

Diophantine exponents of lattices and growth of multidimensional analogues of partial quotients

Elmir R. Bigushev·Oleg N. German
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Abstract

In this paper we study the three-dimensional analogue of the relation between the irrationality exponent of a real number and the growth of its regular continued fraction partial quotients. As a multidimensional generalisation of continued fractions, we consider Klein polyhedra.

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Elmir R. Bigushev, Oleg N. German. 2022-07-13. Diophantine exponents of lattices and growth of multidimensional analogues of partial quotients. https://arxiv.org/abs/2207.06093

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