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.

No current result

No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

1True ↔2  ∃ f, 2 ≤ f.degree ∧ ∃ A, ∀ (z : ℤ), ∃! ab, ab ∈ A ×ˢ ((fun x => Polynomial.eval x f) '' {n | 0 < n}) ∧ z = ab.1 + ab.2

Reported activity

Reported by these sources. Not reviewed here.

• AI standalone

  Erdős AI contributions wiki · 7 Jan, 2026

  Machine

  AlphaProof

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• argument

  VibeMathed

  Machine

  GPT-5.5 Pro

  Reported outcome

  candidate

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