Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

A mass transference principle for systems of linear forms and its applications

Tools
- Tools
+ Tools

Allen, Demi and Beresnevich, Victor (2018) A mass transference principle for systems of linear forms and its applications. Compositio Mathematica, 154 (5). pp. 1014-1047. doi:10.1112/S0010437X18007121 ISSN 0010-437X.

Research output not available from this repository.

Request-a-Copy directly from author or use local Library Get it For Me service.

Official URL: http://dx.doi.org/10.1112/S0010437X18007121

Request Changes to record.

Abstract

In this paper we establish a general form of the mass transference principle for systems of linear forms conjectured in 2009. We also present a number of applications of this result to problems in Diophantine approximation. These include a general transference of Lebesgue measure Khintchine–Groshev type theorems to Hausdorff measure statements. The statements we obtain are applicable in both the homogeneous and inhomogeneous settings as well as allowing transference under any additional constraints on approximating integer points. In particular, we establish Hausdorff measure counterparts of some Khintchine–Groshev type theorems with primitivity constraints recently proved by Dani, Laurent and Nogueira.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Compositio Mathematica
Publisher: Cambridge University Press
ISSN: 0010-437X
Official Date: May 2018
Dates:
DateEvent
May 2018Published
3 April 2018Available
Volume: 154
Number: 5
Page Range: pp. 1014-1047
DOI: 10.1112/S0010437X18007121
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access (Creative Commons)

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item
twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us