Hostname: page-component-745bb68f8f-f46jp Total loading time: 0 Render date: 2025-01-12T09:19:50.557Z Has data issue: false hasContentIssue false
  • English
  • Français

Cubic congruences

Published online by Cambridge University Press:  26 February 2010

G. L. Watson
G. L. Watson
Affiliation:
University College, and London.
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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