Binary linear forms as sums of two squares

Details Binary linear forms as sums of two squares Binary linear forms as sums of two squares

2007-12-12

arxiv.org/abs/0712.1918v1

Mathematics

Number Theory

34 pages

Scientific paper

We revisit recent work of Heath-Brown on the average order of the quantity
r(L_1)r(L_2)r(L_3)r(L_4), for suitable binary linear forms L_1,..., L_4, for
integers ranging over quite general regions. In addition to improving the error
term in Heath-Brown's estimate we generalise his result quite extensively.

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