Geodesic
Algebraic $K$-theory and sums-of-squares formulas
Documenta mathematica, Tome 10 (2005), pp. 357-366.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove a result about the existence of certain `sums-of-squares' formulas over a field $F$. A classical theorem uses topological $K$-theory to show that if such a formula exists over $\mathbb R$, then certain powers of 2 must divide certain binomial coefficients. In this paper we use algebraic $K$-theory to extend the result to all fields not of characteristic 2. 
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     title = {Algebraic $K$-theory and sums-of-squares formulas},
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Dugger, Daniel; Isaksen, Daniel C. Algebraic $K$-theory and sums-of-squares formulas. Documenta mathematica, Tome 10 (2005), pp. 357-366. http://geodesic.mathdoc.fr/item/DOCMA_2005__10__a9/