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Cubic Forms in 29 Variables

H. Davenport
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 266, No. 1326 (Mar. 20, 1962), pp. 287-298
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2414206
Page Count: 12
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Cubic Forms in 29 Variables
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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 29. This is an improvement on a previous result (Davenport 1959).

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