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math.NT2010
Binary forms as sums of two squares and Châtelet surfaces
R. de la Bretèche, T. D. Browning
The representation of integral binary forms as sums of two squares is discussed and applied to establish the Manin conjecture for certain Châtelet surfaces defined over the rationa…
math.NT2010★ 4 cited
On Manin's conjecture for a family of Châtelet surfaces
R. de la Bretèche, T. D. Browning, E. Peyre
The Manin conjecture is established for Châtelet surfaces over Q arising as minimal proper smooth models of the surface Y^2+Z^2=f(X) where f is a totally reducible polynomial of de…