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Cubic congruences

Published online by Cambridge University Press:  26 February 2010

G. L. Watson
G. L. Watson
Affiliation:
University College, and London.
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Extract

1. Throughout this note p is a prime and θ = θ(x1, …, xn) a polynomial of degree 3, with integral coefficients and an integral constant term. The object is to study, by elementary methods, the cubic congruence θ(x1, … xn)≡0 (mod p). (1)

Type
Research Article
Information
Mathematika , Volume 11 , Issue 2 , December 1964 , pp. 142 - 150
Copyright
Copyright © University College London 1964

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References

1. Davenport, H., The higher arithmetic (London, 1952).Google Scholar
2. Davenport, H., Journal London Math. Soc., 7 (1932), 117–121.CrossRefGoogle Scholar
3. Davenport, H., and Lewis, D. J., Quart. J. of Math. (Oxford) (2), 14 (1963), 51–60.CrossRefGoogle Scholar
4. Dickson, L. E., History of the theory of numbers, vol. I (New York, 1952)Google Scholar
5. Watson, G. L., Journal London Math. Soc., 27 (1952), 217–224.CrossRefGoogle Scholar