Is there a multivariate and univariate polynomial analogy to Lagrange's sum of four squares?
Asked
Active
Viewed 70 times
2
-
Perhaps you should be more specific, e.g., about the coefficient ring. Anyway, over $\Bbb R$, any nonnegative polynomial $f$ can be written as the sum of the squares of just two polynomials. – Travis Willse Jun 10 '16 at 10:23
-
@Travis that is interesting I was thinking of integers. How is what you state true? – Jun 10 '16 at 10:25
-
http://math.stackexchange.com/questions/823627/prove-that-p-in-mathbbrx-can-be-represented-as-a-sum-of-squares-of-polin – Travis Willse Jun 10 '16 at 10:26
-
I do not know the corresponding answer for integer-coefficient polynomials. – Travis Willse Jun 10 '16 at 10:27
-
Consider Waring's problem – TravorLZH Oct 18 '20 at 15:11