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- W3003288756 abstract "We give a complete description of all solutions to the equation $f_1^3 + f_2^3 = f_3^3 + f_4^3$ for quadratic forms $f_j in mathbb C[x,y]$ and show how Ramanujan's example can be extended to three equal sums of pairs of cubes. We also give a complete census in counting the number of ways a sextic $p in mathbb C[x,y]$ can be written as a sum of two cubes. The extreme example is $p(x,y) = xy(x^4-y^4)$, which has six such representations." @default.
- W3003288756 created "2020-02-07" @default.
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- W3003288756 date "2020-02-03" @default.
- W3003288756 modified "2023-09-27" @default.
- W3003288756 title "Equal sums of two cubes of binary quadratic forms" @default.
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