Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-23T05:22:21.816Z Has data issue: false hasContentIssue false
  • English
  • Français

A problematic identity

Published online by Cambridge University Press:  26 February 2010

H. Davenport
H. Davenport
Affiliation:
Trinity College, Cambridge.
Get access

Extract

The following problem was proposed by Professor N. J. Fine: to prove that there do not exist rational functions F1, F2, F3 of x1, x2, x3, x4, with real coefficients, such that

identically. In the present note I give a proof.†

Type
Research Article
Information
Mathematika , Volume 10 , Issue 1 , June 1963 , pp. 10 - 12
Copyright
Copyright © University College London 1963

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

† Dr. Cassels, to whom I communicated this note, has obtained a more general result, which will be published shortly in Acta Arithmetica.

† See Perron, Algebra I, Satz 117 and Satz 118.