On Waring's problem: two squares, two cubes and two sixth powers

Published 26 Dec 2012 in math.NT | (1212.6150v2)

Abstract: We investigate the number of representations of a large positive integer as the sum of two squares, two positive integral cubes, and two sixth powers, showing that the anticipated asymptotic formula fails for at most O((log X)³⁾ positive integers not exceeding X.

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Authors (1)

Trevor D. Wooley

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