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Erdős problem 477

Does there exist an integer polynomial ff of degree at least two and a set A⊆ZA \subseteq \mathbb{Z} such that every integer has a unique representation n=a+f(k)n = a + f(k)? A manuscript claims the thirteenth powers admit a tiling complement.

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Does there exist an integer polynomial $f$ of degree at least two and a set $A \subseteq \mathbb{Z}$ such that every integer has a unique representation $n = a + f(k)$? A manuscript claims the thirteenth powers admit a tiling complement.

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