Waring's Problem & Lagrange's Four-Square Theorem

$latex \displaystyle \mathrm{num}\ = \square+\square+\square+\square &fg=000000$ Introduction We are all familiar with the problem of splitting numbers into products of primes. This process is called factorisation. The problem of expressing numbers as sums of smaller numbers has also been studied in great depth. We call such a decomposition a partition. The Indian mathematician Ramanujan proved…

Lagrange's four-square theorem - Wikipedia

LAGRANGE'S FOUR SQUARE THEOREM Theorems, Lagrange theorem, Number theory

DESCRIPTIVE SURVEY: F. Theory of Numbers, Guide to Tables in the Theory of Numbers

summation - Representing an Integer as a Sum of at Most $k$ Triangular Numbers - Mathematics Stack Exchange

Every Positive Integer is the Sum of Four Squares! (and other exciting problems) - PDF Free Download

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

Additive problems with almost prime squares

Analytic number theory Facts for Kids

Waring's Problem -- from Wolfram MathWorld

Table 3 from Extended Lagrange's four-square theorem