An elementary proof that the length of \(X_1^4+X_2^4+X_3^4+X_4^4\) is 4.

DOI10.1016/j.jpaa.2004.02.012zbMath1073.11023OpenAlexW1569344022MaRDI QIDQ1877768

Digen Zhang

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.02.012

zbMATH Keywords

sums of squaresquartic formslength of a formreal homogeneous polynomials

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Forms over real fields (11E10)

Cites Work

• Sums of squares in some integral domains
• A quantitative version of Hurwitz' theorem on the arithmetic-geometric inequality.
• The length of \(x_1^4+x_2^4+x_3^4+x_4^4\) as a sum of squares
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