Waring's Problem & Lagrange's Four-Square Theorem
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$latex \displaystyle \mathrm{num}\ = \square+\square+\square+\square &fg=000000$ 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…
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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
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