Almost equal summands in Waring's problem with shifts
classification
🧮 math.NT
keywords
naturalnumbersproblemresultwaringalmostanaloguearbitrarily
read the original 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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