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arXiv · 1811.00856

Almost equal summands in Waring's problem with shifts

Kirsti Biggs
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Abstract

A result of Wright from 1937 shows that there are arbitrarily large natural numbers which cannot be represented as sums of $s$ $k$th powers of natural numbers which are constrained to lie within a narrow region. We show that the analogue of this result holds in the shifted version of Waring's problem.

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Kirsti Biggs. 2018-11-02. Almost equal summands in Waring's problem with shifts. https://doi.org/10.1007/s00605-018-1178-7

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