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Norm forms for arbitrary number fields as products of linear polynomials
Tim Browning, Lilian Matthiesen
Let K/Q be a field extension of finite degree and let P(t) be a polynomial over Q that splits into linear factors over Q. We show that any smooth model of the affine variety define…
math.NT2013
Pairs of diagonal quadratic forms and linear correlations among sums of two squares
T. D. Browning, R. Munshi
For suitable pairs of diagonal quadratic forms in 8 variables we use the circle method to investigate the density of simultaneous integer solutions and relate this to the problem o…