Proves sum_{n≤N} f_r(n) - N ≫_r N^{1-1/r} for additive complements W_r of r-th powers, with a log-improved bound for r=2.
Moser,On the Additive Completion of Sets of Integers,Proceedings of Symposia in Pure Math- ematics, vol
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Cross representations of additive complements of $r$-th powers
Proves sum_{n≤N} f_r(n) - N ≫_r N^{1-1/r} for additive complements W_r of r-th powers, with a log-improved bound for r=2.