2 problems

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Completeness of the list of number fields in Theorem 2
The paper studies number fields $K$ of degree $d$ and the property that $2\mathcal{O}_K^+$ is a sum of squares, where $\mathcal{O}_K^+$ denotes the totally positive elements of the…
Conjectureopennumber-fields sums-of-squares totally-positive-elementsarXiv posted 3 days ago
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Finiteness conjecture for indecomposable elements in real biquadratic fields
Finiteness conjecture. There are only finitely many real biquadratic fields $K$ such that
Conjectureopennumber-fields real-biquadratic-fields totally-positive-elementsarXiv posted 3 days ago

Completeness of the list of number fields in Theorem 2