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

Trevor D. Wooley

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arXiv · 1212.6150

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

Trevor D. Wooley

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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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Trevor D. Wooley. 2012-12-26. On Waring's problem: two squares, two cubes and two sixth powers. https://arxiv.org/abs/1212.6150

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