teorth/sendov
A Lean formalization of Sendov's conjecture, and of its Phelps-Rodriguez strengthening, in full generality: if every zero of a complex polynomial p of degree n >= 2 lies in the closed unit disk, then every zero a of p has a critical point of p within distance 1 of it, and within distance strictly less than 1 unless |a| = 1 and p is a scalar multiple of z^n - a^n. The proof is by contradiction. Degrees 2 to 4 fall to an elementary integral computation; degree 5 upward goes through two estimates on the same integral -- a polar channel and an origin channel -- which are shown to be…
Comments and reviews
No comments yet.
API
curl /api/v1/records/palomar/PALOMAR-2026-08-13-000001
curl -X POST /api/v1/records/palomar/PALOMAR-2026-08-13-000001/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-08-13-000001/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"body": "…", "review": true}'