Inhomogeneous Dual Diophantine Approximation on Affine Subspaces-Reference-Cited by-同舟云学术

Inhomogeneous Dual Diophantine Approximation on Affine Subspaces

Published:2018-06-11 Issue:12 Volume:2020 Page:3582-3613
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Beresnevich Victor¹,Ganguly Arijit²³,Ghosh Anish²,Velani Sanju¹

Affiliation:

1. Department of Mathematics, University of York, Heslington, York, UK

2. School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India

3. School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

Abstract

Abstract We prove the convergence and divergence cases of an inhomogeneous Khintchine–Groshev-type theorem for dual approximation restricted to affine subspaces in $\mathbb{R} ^n$. The divergence results are proved in the more general context of Hausdorff measures.

Funder

Engineering and Physical Sciences Research Council Programme

United States-Israel Binational Science Foundation

University Grants Commission

Indo-French Centre for the Promotion of Advanced Research

Department of Science and Technology, Government of India Swarnajayanti

Benoziyo Endowment Fund for the Advancement of Science at the Weizmann Institute

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/12/3582/33370794/rny124.pdf

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