Rational approximation of affine coordinate subspaces of Euclidean space

Research output: Contribution to journalArticle

Full text download(s)

Links

Author(s)

Department/unit(s)

Publication details

JournalActa Arithmetica
DateAccepted/In press - 4 Aug 2016
DateE-pub ahead of print - 2 Dec 2016
DatePublished (current) - 2017
Early online date2/12/16
Original languageEnglish

Abstract

We show that affine coordinate subspaces of dimension at least two in Euclidean space are of Khintchine type for divergence. For affine coordinate subspaces of dimension one, we prove a result which depends on the dual Diophantine type of the basepoint of the subspace. These results provide evidence for the conjecture that all affine subspaces of Euclidean space are of Khintchine type for divergence.

Bibliographical note

10 pages. v2: new introduction

    Research areas

  • math.NT

Discover related content

Find related publications, people, projects, datasets and more using interactive charts.

View graph of relations