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A new variant of the Hilbert-Waring problem
2013
Mathematics of Computation
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In this paper, we propose a new variant of Waring's problem: to express a positive integer n as a sum of s positive integers whose product is a k-th power. We define, in a similar way to that done for g(k) and G(k) in Waring's problem, numbers g (k) and G (k). We obtain g (k) = 2k − 1,
doi:10.1090/s0025-5718-2013-02685-3
fatcat:6lbt2yukgrb7jazgsiv7yxznqq