Abstract
In this chapter we shall use integer quaternions to show that every natural number is a sum of four perfect squares. This was first proved by J. L. Lagrange in 1770 (Oeuvres, Vol. 3, pp. 189-201).
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© 1995 Springer Science+Business Media New York
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Anglin, W.S., Lambek, J. (1995). Quaternions Applied to Number Theory. In: The Heritage of Thales. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0803-7_41
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DOI: https://doi.org/10.1007/978-1-4612-0803-7_41
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6906-9
Online ISBN: 978-1-4612-0803-7
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