Gives a Hilbert-symbol criterion at one finite place to decide the residual choice of squareclass for the unit generator in L+ = Q(sqrt(2), sqrt(pq), sqrt(ps)), plus counterexamples showing standard residue data is insufficient.
Kubota, ¨Uber den bizyklischen biquadratischen Zahlk¨ orper, Nagoya Math
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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
Gives a Hilbert-symbol criterion at one finite place to decide the residual choice of squareclass for the unit generator in L+ = Q(sqrt(2), sqrt(pq), sqrt(ps)), plus counterexamples showing standard residue data is insufficient.