Local Hilbert-symbol criterion resolves the residual binary choice of unit generator in Q(sqrt(2), sqrt(pq), sqrt(ps)).
Wada,On the class number and the unit group of certain algebraic number fields, J
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Local certification of residual squareclasses in $\mathbb Q(\sqrt{2},\sqrt{pq},\sqrt{ps})$: one-bit, affine, and finite-choice Hilbert-symbol frameworks
Local Hilbert-symbol criterion resolves the residual binary choice of unit generator in Q(sqrt(2), sqrt(pq), sqrt(ps)).