论文标题

晶格的养分指数和部分商的多维类似物的增长

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

论文作者

Bigushev, Elmir R., German, Oleg N.

论文摘要

在本文中,我们研究了实际数量的非理性指数与其常规持续分数部分商的增长之间关系的三维类似物。作为持续馏分的多维概括,我们认为klein polyhedra。

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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