Hostname: page-component-848d4c4894-wg55d Total loading time: 0 Render date: 2024-05-27T00:05:22.841Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Diophantine inequalities

Published online by Cambridge University Press:  26 February 2010

L. J. Mordell
L. J. Mordell
Affiliation:
University of Toronto, Canada, and St. John's College, Cambridge.
Get access

Extract

Let →(X) be a function of the n variables (X) = (X1, …, Xn) defined for all real (X). A fundamental problem in the theory of Diophantine approximation is to prove the existence of real numbers (X) ≡ (x) (mod 1), where (x) = (x1, …, xn) is any given set of real numbers, for which

Type
Research Article
Information
Mathematika , Volume 2 , Issue 2 , December 1955 , pp. 145 - 149
Copyright
Copyright © University College London 1955

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* See Swinnerton-Dyer, H. P. F., Proc. Cambridge Phil. Soc., 50 (1954), 209–219CrossRefGoogle Scholar, Lemma (§4), and a paper by Birch and Swinnerton-Dyer to appear in Mathematika.