Quaternions Applied to Number Theory

Purchase on Springer.com

$29.95 / €24.95 / £19.95*

* Final gross prices may vary according to local VAT.

Get Access


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).