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A Note on the Two-Square Theorem

Published online by Cambridge University Press:  20 November 2018

Benjamin Fine
Benjamin Fine*
Affiliation:
Department of Mathematics, Fairfield University Fairfield, Connecticut06430
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One of the nicest theorems of elementary number theory is the two-square theorem of Fermat.

A prime p is expressible as the sum of 2 squares if and only if -1 is a quadratic residue mod p.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 93 - 94
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Fine, Benjamin, Sum of Squares Rings (to appear Canadian Journal of Mathematics).Google Scholar
2. Hardy, G. H. and Wright, E. M., Introduction to the Theory of Numbers Clarendon Press.Google Scholar
3. Lehner, Joseph, Discontinuous Groups and Automorphic Functions Math. Surveys No. VIII Amer. Math. Soc. (1964).Google Scholar
4. Newman, Morris, Integral Matrices Academic Press (1972).Google Scholar