Lagrange's four-square theorem, polynomials, diophantine equations, prime numbers

Lagrange’s four-square theorem, in number theory, theorem that every positive integer can be expressed as the sum of the squares of four integers. For example, 23 = 12 + 22 + 32 + 32. The four-square theorem was first proposed by the Greek mathematician Diophantus of Alexandria in his treatise

PDF] New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem

MathType - Lagrange's four-square theorem states that every natural number can be represented as the sum of four integer squares. Proved by Joseph Louis #Lagrange in 1770, it can be regarded as

Chapter 3 Greek Number Theory The Role of Number Theory Polygonal, Prime and Perfect Numbers The Euclidean Algorithm Pell's Equation The Chord and Tangent. - ppt download

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PDF) The Quadratic Diophantine Equations x^2− P(t)y^2− 2P′(t)x + 4P(t)y + (P′(t))^2− 4P(t) − 1 = 0

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PDF) Quarternions and the Four Square Theorem

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