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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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1936_04_01_mahler: Mahler (J. London Math. Soc. 1936) shows that every large twelfth power N is a sum of three cubes in at least 9^(-1/3) N^(1/12) ways, so the answer to the second question for k = 3 is yes; refereed.