Cubic forms in sixteen variables
- 19 March 1963
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 272 (1350) , 285-303
- https://doi.org/10.1098/rspa.1963.0054
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).Keywords
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