Almost equal summands in Waring's problem with shifts

Published 2 Nov 2018 in math.NT | (1811.00856v1)

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

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