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arXiv · 1109.0232

Quadratic polynomials represented by norm forms

T. D. Browning·D. R. Heath-Brown
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Abstract

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.

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T. D. Browning, D. R. Heath-Brown. 2011-09-01. Quadratic polynomials represented by norm forms. https://arxiv.org/abs/1109.0232

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