The paper proves p(F) <= 5 for every field F of transcendence degree one over Q, settling a question of Pop and Pfister, via a general representation theorem for quadratic forms of rank at least 5 over k(C).
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The Pythagoras number of fields of transcendence degree $1$ over $\mathbb{Q}$
The paper proves p(F) <= 5 for every field F of transcendence degree one over Q, settling a question of Pop and Pfister, via a general representation theorem for quadratic forms of rank at least 5 over k(C).