Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2023-01-01 DOI:10.4213/sm9746e

Elmir Rufkatovich Bigushev, Oleg Nikolaevich German

引用次数: 0

Abstract

A three-dimensional analogue of the connection between the exponent of the irrationality of a real number and the growth of the partial quotients of its expansion in a simple continued fraction is investigated. As a multidimensional generalization of continued fractions, Klein polyhedra are considered. Bibliography: 12 titles.

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格的丢番图指数和部分商的高维类似物的增长

研究了实数的无理数指数与其展开式的部分商的增长之间的关系的三维模拟。克莱因多面体是连分式的多维推广。参考书目:12篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis