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Sum of Squares Rings

Published online by Cambridge University Press:  20 November 2018

Benjamin Fine
Benjamin Fine*
Affiliation:
Fairfield University, Fairfield, Connecticut
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Abstract

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One of the nicest results in elementary number theory is the following, giving the relation between quadratic residues and sums of squares.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 1 , 01 February 1977 , pp. 155 - 160
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Fine, Benjamin, The HNN and generalized free product structure of certain linear groups, Bull. A.M.S. 81 (1975) 413–416.Google Scholar
2. Fine, Benjamin A note on quadratic residues and sums of squares, submitted, Proceedings of AMS. 1976.Google Scholar
3. Fine, Benjamin The structure of PSL2(R), Annals of Mathematics Study 79, Discontinuous Groups and Riemann Surfaces (1974), 145–169.Google Scholar
4. Hardy, G. H. and Wright, E. M., The theory of numbers (Clarendon Press, 1960).Google Scholar
5. McQuillan, D. L., Classification of normal congruence subgroups of the modular group, Amer. J. Math. 87 (1965), 285–296.Google Scholar
6. Newman, Morris, Integral matrices (Academic Press, New York, 1972).Google Scholar