Almost equal summands in Waring's problem with shifts

Kirsti Biggs

Published 2018-11-02Version 1

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.