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The Pythagoras number of fields of transcendence degree 1 overQ

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math.AC 1

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2026 1

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UNVERDICTED 1

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Sums of squares on curves and surfaces

math.AC · 2026-06-21 · unverdicted · novelty 6.0

Establishes that 2s-Pythagoras numbers are infinite for certain real algebras with square roots and finite for 0-regulous functions, with codimension 2 for bad sets of order 2n.

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  • Sums of squares on curves and surfaces math.AC · 2026-06-21 · unverdicted · none · ref 6

    Establishes that 2s-Pythagoras numbers are infinite for certain real algebras with square roots and finite for 0-regulous functions, with codimension 2 for bad sets of order 2n.