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• W2118924304 abstract "We show that a sum of four non-degenerate binary cubic forms with integral coefficients necessarily possesses a non-trivial rational zero. When each of these binary cubic forms has non-zero discriminant, we are able to obtain bounds on the number, N(P), of integral zeros of the sum inside a box of size P of the shape P 5− ϵ ≪ ϵ N(P) ≪ ϵ P 5+ ϵ . Finally, given two binary cubic forms with non-zero discriminant, we show that almost all integers, lying in those congruence classes permitted by local solubility conditions, are represented as the sum of the aforementioned forms." @default.
• W2118924304 created "2016-06-24" @default.
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• W2118924304 date "1998-03-15" @default.
• W2118924304 modified "2023-09-27" @default.
• W2118924304 title "The addition of binary cubic forms" @default.
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• W2118924304 doi "https://doi.org/10.1098/rsta.1998.0182" @default.
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