Let P(t) ∈ ?[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ? containing the roots of P(t). Let N _(K/?)(X) be a full norm form for the extension K/?. We show that the variety P(t) =N _(K/?)(X)≠ 0 satisfies the Hasse principle and weak approximation. The proof uses analytic methods.
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机译：令P（t）∈？[t]为不可约二次多项式，并假定K为？的四次扩展。包含P（t）的根令N _（K /？）（X）为扩展名K /？的完整范式。我们表明，变量P（t）= N _（K /？）（X）≠0满足Hasse原理和弱近似。证明使用分析方法。
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