An Application of Hermitian K-Theory: Sums-of-Squares Formulas

By using Hermitian $K$-theory, we improve D. Dugger and D. Isaksen's condition (some powers of 2 dividing some binomial coefficients) for the existence of sums-of-squares formulas.

2010 Mathematics Subject Classification: 19G38; 11E25; 15A63

Keywords and Phrases: Hermitian K-theory, sums-of-squares formulas, comparison maps and deleted quadrics.

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