diff --git a/CITATION.cff b/CITATION.cff index 51f8cf3b..469574a6 100644 --- a/CITATION.cff +++ b/CITATION.cff @@ -379,6 +379,25 @@ references: formal/CoreFormalism/CRTSidon.lean, docs/research/sidon_preservation_creation.md. + - type: online + title: "Erdős Problem #477: Tiling complements for value sets of polynomials" + authors: + - family-names: "Bloom" + given-names: "Thomas F." + date-published: "2026-06" + url: "https://www.erdosproblems.com/477" + notes: > + References: Bloom (2026) via Brownawell–Masser S-unit estimate + + Heath-Brown determinant method. Proves that the set of 13th powers + has a tiling complement in ℤ. The greedy tiling criterion + (Lemma 1.7) is the same algorithm as SilverSight's `crt_sidon_set`: + enumerate candidates, reject those that create collisions, accept + when bad shifts are o(T). The analytic density bound |Sc(T)|=O(T^{5/6}) + corresponds to our Sidon sum collision bound (wrapping criterion + + M-difference condition). Binds to: scripts/crt_capacity_envelope.py, + formal/CoreFormalism/CRTSidon.lean. + version: "accessed 27 June 2026" + - type: online title: "Toroidal and Poloidal Coordinates" authors: