A Note on Well Distributed Sequences-Reference-Cited by-同舟云学术

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A Note on Well Distributed Sequences

Published:2023-07-01 Issue:1 Volume:18 Page:141-146
ISSN:2309-5377
Container-title:Uniform distribution theory
language:en
Short-container-title:

Author:

Moshohevitin Nikolay¹

Affiliation:

1. 1 National Research University Higher School of Economics , Moscow , Russia

Abstract

Abstract We prove an easy statement about inhomogeneous approximation for non-singular vectors in metric theory of Diophantine approximation.

Publisher

Walter de Gruyter GmbH

Subject

General Earth and Planetary Sciences,General Environmental Science

Link

https://www.sciendo.com/pdf/10.2478/udt-2023-0008

Reference8 articles.

1. BERESNEVICH, V.—VELANI, S.: A note on zero-one laws in metrical Diophantine approximation, Acta Arithm. 133 (2008), no. 4, 303–374.

2. CASSELS, J. W. S.: An Introduction to Diophantine Approximations, Cambridge Univ. Press, Cambridge, 1957.

3. DICKINSON, D.– BERESNEVICH, V.-VELANI, S.: Measure theoretic laws for lim sup sets, Mem. Amer. Math. Soc. 179 (2006), no. 846, 91 pp.

4. KIM, D. H.: The shrinking target property of irrational rotations, Nonlinearity 20 (2007), 1637–1643.

5. SHAPIRA, U.: Grids with dense values, Comment. Math. Helv. 88 (2013), 485–506.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. k-divergent lattices;Combinatorics and Number Theory;2024-08-16

2. Badly approximable grids and k$k$‐divergent lattices;Mathematika;2024-06-28

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