Vol. 90, No. 2, 1980

Recent Issues
Vol. 325: 1
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
On linear forms and Diophantine approximation

Jeffrey D. Vaaler

Vol. 90 (1980), No. 2, 475–482
Abstract

Let x be a vector in Rk and let Λj(x), j = 1,2,,J be J linear forms in K variables. We prove that there is a lattice point u in Zk, u0, for which |Λj(u)| are all small (or zero) and the components of u are not too large. The bounds that we obtain improve several previous results on this problem.

Mathematical Subject Classification
Primary: 10F35, 10F35
Secondary: 10F37, 10E99
Milestones
Received: 1 June 1979
Published: 1 October 1980
Authors
Jeffrey D. Vaaler
Department of Mathematics
University of Texas at Austin
1 University Station - C1200
Austin TX 78712-0257
United States