Quadratic polynomials represented by norm forms
Number Theory
2011-09-02 v1
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.
Cite
@article{arxiv.1109.0232,
title = {Quadratic polynomials represented by norm forms},
author = {T. D. Browning and D. R. Heath-Brown},
journal= {arXiv preprint arXiv:1109.0232},
year = {2011}
}
Comments
55 pages