Waring’s problem for cubes
In his book Meditationes Algebraicae, published in 1770, Edward Waring stated without proof that every nonnegative integer is the sum of four squares, nine cubes, 19 fourth powers, and so on. Waring’s problem is to prove that, for every k ≥ 2, the set of nonnegative kth powers is a basis of finite order.
KeywordsNonnegative Integer Polynomial Identity Chinese Remainder Theorem Congruence Class Implied Constant
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