{"id":"palomar/PALOMAR-2026-10-27-000001","url":"https://github.com/gdahia/ChangFreimanRuzsa/tree/82a4428c9f9f3920c55df7379c7ff00b3601a55f","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-27-000001-v1.json","repo":"https://github.com/gdahia/ChangFreimanRuzsa","tags":["math.CO","math.NT","msc:11P70","msc:11B30","msc:11B13","msc:11H06"],"score":0,"title":"Chang's theorem","trust":"high","domain":"math.CO","source":"palomar","authors":["Gabriel Dahia"],"reviews":0,"subject":"math.CO","summary":"Formalization of Chang's polynomial form of Freiman's theorem, with a 2-proper progression P, one for which P + P is proper: a finite set X of integers with |X + X| = 7 * 10^7 kappa^2, then 2X - 2X contains a proper progression of dimension at most 3 * 10^5 kappa^2 with at least exp(-2 * 10^7 kappa^2) |X| points.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-27","reactions":{},"formalized":true,"formalizes":[{"title":"A polynomial bound in Freiman's theorem","identifier":"https://doi.org/10.1215/S0012-7094-02-11331-3","relationship":"adapts"},{"title":"On the independence number of sparser random Cayley graphs","identifier":"https://arxiv.org/abs/2406.09361","relationship":"adapts"}]}