Some remarks on Mahler’s classification in higher dimension

S. Kristensen; S. H. Pedersen; B. Weiss

Some remarks on Mahler’s classification in higher dimension

S. Kristensen, S. H. Pedersen, B. Weiss

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We prove a number of results on the metric and non-metric theory of Diophantine approximation for Yu’s multidimensional variant of Mahler’s classification of transcendental num-bers. Our results arise as applications of well known results in Diophantine approximation to the setting of Yu’s classification.

Original language	English
Pages (from-to)	177-190
Number of pages	14
Journal	Moscow Journal of Combinatorics and Number Theory
Volume	6
Issue number	2-3
State	Published - 1 Jan 2016
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

Cite this

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abstract = "We prove a number of results on the metric and non-metric theory of Diophantine approximation for Yu{\textquoteright}s multidimensional variant of Mahler{\textquoteright}s classification of transcendental num-bers. Our results arise as applications of well known results in Diophantine approximation to the setting of Yu{\textquoteright}s classification.",

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N2 - We prove a number of results on the metric and non-metric theory of Diophantine approximation for Yu’s multidimensional variant of Mahler’s classification of transcendental num-bers. Our results arise as applications of well known results in Diophantine approximation to the setting of Yu’s classification.

AB - We prove a number of results on the metric and non-metric theory of Diophantine approximation for Yu’s multidimensional variant of Mahler’s classification of transcendental num-bers. Our results arise as applications of well known results in Diophantine approximation to the setting of Yu’s classification.

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JF - Moscow Journal of Combinatorics and Number Theory

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Some remarks on Mahler’s classification in higher dimension

Abstract

ASJC Scopus subject areas

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