Quadratic polynomials represented by norm forms
  The Hasse principle and weak approximation is established for equations of the shape P(t)=N(x_1,x_2,x_3,x_4), where P is an irreducible quadratic polynomial in one variable and N is a norm form associated to a quartic extension of the rationals containing the roots of P. The proof uses analytic methods. 
T. D. Browning and D. R. Heath-Brown
math.NT