PDF) Quarternions and the Four Square Theorem

The Four Square Theorem was proved by Lagrange in 1770: ev- ery positive integer is the sum of at most four squares of positive integers, i.e. n = A2 +B2 +C2 +D2;A;B;C;D 2 Z An interesting proof is presented here based on Hurwitz integers, a subset

Hurwitz's Lectures on the Number Theory of Quaternions

MathType on X: Lagrange's four-square theorem asserts that any positive whole number can be written as the sum of four squares of integers. Leave an example in the comments! #MathType #NumberTheory #math #

What are your favorite results in mathematics that are also especially inelegant, ugly, or irritating to look at? : r/math

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PDF) Quarternions and the Four Square Theorem

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