@article{243, abstract = {Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ℚ containing the roots of P(t). Let N K/ℚ(X) be a full norm form for the extension K/ℚ. We show that the variety P(t) =N K/ℚ(X)≠ 0 satisfies the Hasse principle and weak approximation. The proof uses analytic methods.}, author = {Timothy Browning and Heath-Brown, Roger}, journal = {Geometric and Functional Analysis}, number = {5}, pages = {1124 -- 1190}, publisher = {Springer Basel}, title = {{Quadratic polynomials represented by norm forms}}, doi = {10.1007/s00039-012-0168-5}, volume = {22}, year = {2012}, }