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docs(citation): add Erdős problem 477 — greedy tiling criterion as prior art for Sidon set construction
Bloom (2026): 13th powers have a tiling complement. The greedy algorithm
is the same as SilverSight's crt_sidon_set; the density bound |Sc(T)|=O(T^{5/6})
corresponds to our Sidon sum collision bound.
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CITATION.cff
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@ -379,6 +379,25 @@ references:
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formal/CoreFormalism/CRTSidon.lean,
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docs/research/sidon_preservation_creation.md.
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- type: online
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title: "Erdős Problem #477: Tiling complements for value sets of polynomials"
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authors:
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- family-names: "Bloom"
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given-names: "Thomas F."
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date-published: "2026-06"
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url: "https://www.erdosproblems.com/477"
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notes: >
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References: Bloom (2026) via Brownawell–Masser S-unit estimate +
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Heath-Brown determinant method. Proves that the set of 13th powers
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has a tiling complement in ℤ. The greedy tiling criterion
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(Lemma 1.7) is the same algorithm as SilverSight's `crt_sidon_set`:
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enumerate candidates, reject those that create collisions, accept
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when bad shifts are o(T). The analytic density bound |Sc(T)|=O(T^{5/6})
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corresponds to our Sidon sum collision bound (wrapping criterion +
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M-difference condition). Binds to: scripts/crt_capacity_envelope.py,
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formal/CoreFormalism/CRTSidon.lean.
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version: "accessed 27 June 2026"
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- type: online
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title: "Toroidal and Poloidal Coordinates"
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authors:
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