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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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Problem row
sha256:cacb2b36c0c8554a76f74bf21261545cd7dec7bb1a71535ac5fba171012d4e9b
Metadata
sha256:06de14cd491460fd60cbd3ad51931a361e5dc0a4a31f3442f27343166bd335dc
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:94af355e542f32fe685a7ddd358a503563ef712b2fb776a64a4b122212b3183c
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sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207
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