Liminf Sets in Simultaneous Diophantine Approximation

Faustin Adiceam

doi:10.5802/jtnb.949

Liminf Sets in Simultaneous Diophantine Approximation

Faustin Adiceam

Mathematics

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

Abstract

Let Q be an infinite set of positive integers. Denote by W(Q) the set of n-tuples of real numbers simultaneously tau-well approximable by infinitely many rationals with denominators in Q but only by finitely many rationals with denominators in the complement of Q. The Hausdorff dimension of the liminf set W(Q) is computed when tau > 2 + 1/n. A p-adic analogue of the problem is also studied.

Original language	English
Pages (from-to)	461-483
Number of pages	22
Journal	Journal de Théorie des Nombres de Bordeaux
Volume	28
Issue number	2
DOIs	https://doi.org/10.5802/jtnb.949
Publication status	Published - 2016

Bibliographical note

This is an author produced version of a paper accepted for publication in Journal de Théorie des Nombres de Bordeaux. Uploaded with permission from the publisher.

Keywords

math.NT
11J83, 11K60

Access to Document

10.5802/jtnb.949

13083806v1
This is an author produced version of a paper accepted for publication in Journal de Théorie des Nombres de Bordeaux. Uploaded with permission from the publisher.
Submitted manuscript, 217 KB

http://arxiv.org/abs/1308.3806

Cite this

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