A lower bound for the Hausdorff dimension of sets of singular n-tuples

Author:

Rynne Bryan P.

Abstract

In this paper we improve the estimate for the lower bound of the Hausdorff dimension of certain sets of singular n-tuples in ℝn obtained by Baker in [1]. We begin with a brief discussion of the problem. More details can be found in [1]. For ease of comparison with Baker's results we will adopt a similar notation to that of [1].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. An estimate for the Hausdorff dimension of sets of singular vectors;Yavid;Dokl. Akad. Nauk BSSR,1987

2. Über eine Klasse linearer diophantischer Approximationen

3. Singular n-tuples and Hausdorff dimension

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