Tom Fisher's Home Page

joint with C.L. Basile

We give an alternative proof of a theorem of R. Heath-Brown regarding the existence of non-zero integral solutions of the equation p₁ X₁³ + p₂ X₂³ + p₃ X₃³ + p₄ X₄³ = 0, where the p_j are prime integers = 2 (mod 3).

Diagonal cubic equations in four variables with prime coefficients   (11 pages)         

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