Cubic forms in sixteen variables
H. Davenport · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1963
Abstract It is proved that if C(x1, ..., xn) is any cubic form in n variables, with integral coefficients, then the equation C(x1, ..., xn) = 0 has a solution in integers x1, ..., xn not all 0, provided n is at least 16. This is an improvement upon earlier results (Davenport 1959, 1962).