3 problems

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Unconditional S-tuple extension of the mean value theorem for quadratic extensions
Let $S$ be a finite set of places of a number field $k$ containing all archimedean places, and let $L_S=(L_v)_{v\in S}$ be an unconditional $S$ -tuple of separable quadratic algebra…
Conjectureopenclass-numbers number-fields quadratic-extensionsarXiv posted 2 days ago
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The exact value conjecture for additive forms over the unramified quadratic extension
Exact value conjecture. If $3\mid d$ , then
Conjectureopenadditive-forms p-adic-fields quadratic-extensionsarXiv posted 2 days ago
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Artin's additive quartic conjecture for ramified quadratic extensions of $\mathbb{Q}_2$
Artin's additive quartic conjecture. Artin's conjecture holds for all additive quartic forms over ramified quadratic extensions of $\mathbb{Q}_2$ . In particular,
Conjecturerefutedadditive-forms p-adic-fields quadratic-extensionsarXiv posted 2 days ago

Unconditional S-tuple extension of the mean value theorem for quadratic extensions