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arXiv · 0712.1918

Binary linear forms as sums of two squares

R. de la Breteche·T. D. Browning
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Abstract

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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R. de la Breteche, T. D. Browning. 2007-12-12. Binary linear forms as sums of two squares. https://doi.org/10.1112/s0010437x08003692

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