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arxiv: 1006.5859 · v2 · pith:WMXSEJIDnew · submitted 2010-06-30 · 🧮 math.NT

Binary forms as sums of two squares and Ch\^atelet surfaces

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keywords ateletbinaryformssquaressumssurfacesappliedcertain
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The representation of integral binary forms as sums of two squares is discussed and applied to establish the Manin conjecture for certain Ch\^atelet surfaces defined over the rationals.

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