Meyer's theorem
id:
meyer-s-theorem-166-16183024
title:
Meyer's theorem
text:
In number theory, Meyer's theorem on quadratic forms states that an indefinite quadratic form Q in five or more variables over the field of rational numbers nontrivially represents zero. In other words, if the equation:
- Q(x) = 0 has a non-zero real solution, then it has a non-zero rational solution. By clearing the denominators, an integral solution x may also be found. Meyer's theorem is usually deduced from the Hasse–Minkowski theorem and the following statement:
- A rational quadratic
brand slug:
wiki
category slug:
encyclopedia
description:
Indefinite quadratic form in > 4 variables over the rationals nontrivially represents 0
original url:
https://en.wikipedia.org/wiki/Meyer%27s_theorem
date created:
2005-06-25T21:15:45Z
date modified:
2024-08-30T02:05:42Z
main entity:
{"identifier":"Q6826396","url":"https://www.wikidata.org/entity/Q6826396"}
image:
fields total:
13
integrity:
15