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A Result on Sums of Squares

Published online by Cambridge University Press:  20 November 2018

J. L. Davison
J. L. Davison*
Affiliation:
Department of Mathematics, Laurentian University
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In this note we give an elementary proof of the following.

Let be an integer. n≥1 Then, every positive even integer less than or equal to n(n2—1)/3 can be expressed as a sum ofn squares of integers from the set {0, 1, 2, …, n - 1}.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 425 - 426
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Hardy, G. H. & Wright, E. M., An Introduction to The Theory of Numbers (Oxford Press), 1960, p. 302.Google Scholar