|
This article is available for purchase or by subscription. See below.
Abstract
|
|
We elaborate on a problem raised by Schmidt in 1967 which generalizes
the theory of classical Diophantine approximation to subspaces of
.
We consider Diophantine exponents for linear subspaces of
which
generalize the irrationality measure for real numbers. We prove here that we have no
smooth relations among some functions associated to these exponents. To establish
this result, we construct subspaces for which we are able to compute the
exponents.
|
PDF Access Denied
We have not been able to recognize your IP address
216.73.217.26
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
Diophantine approximation, geometry of numbers
|
Mathematical Subject Classification
Primary: 11J13, 11J25
Secondary: 11J17
|
Milestones
Received: 11 June 2024
Accepted: 18 July 2025
Published: 6 September 2025
|
| © 2025 The Author(s), under
exclusive license to MSP (Mathematical Sciences
Publishers). |
|
