Analysis · Aug 5, 2026

Sendov and Phelps–Rodriguez conjectures

Sendov is reported for all degrees; the stricter distance conclusion and exceptional equality cases are addressed by the same argument.

Scope and what remains

Phelps–Rodriguez merits a distinct theorem claim inside the same problem family, rather than a second duplicate overview. Degree≥2 and equality exceptions belong in the statement.

Contributors

Lech Mazur directed GPT-5.6 Pro discovery/formal work. Terence Tao produced an independent mathematical digestion and separate Lean development with AI assistance.

AI systems: GPT-5.6 Pro

Sources