The density of rational points on a cert
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T.D. Browning
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Article
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2006
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Elsevier Science
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English
β 332 KB
We show that the number of nontrivial rational points of height at most B, which lie on the cubic surface x 1 x 2 x 3 = x 4 (x 1 + x 2 + x 3 ) 2 , has order of magnitude B(log B) 6 . This agrees with Manin's conjecture.