Binary Linear Forms as Sums of Two Squares
نویسنده
چکیده
We revisit recent work of Heath-Brown on the average order of the quantity r(L1(x)) · · · r(L4(x)), for suitable binary linear forms L1, . . . , L4, as x = (x1, x2) ranges over quite general regions in Z. In addition to improving the error term in Heath-Brown’s estimate we generalise his result to cover a wider class of linear forms.
منابع مشابه
Binary Forms as Sums of Two Squares and Châtelet Surfaces
— The representation of integral binary forms as sums of two squares is discussed and applied to establish the Manin conjecture for certain Châtelet surfaces over Q.
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