What was already known
Fehér and Juhász conjectured polynomiality and a binomial-form dependence. Earlier formulas covered d=2 or the second Chern class, not the general theorem.
AI involvement
AlphaEvolve found low-degree patterns; ChatGPT 5.5 Pro supplied the factorial-moment identity and general proof. Bérczi and Fehér chose the problem, coordinated the work and explain the resulting argument.
ChatGPT supplied the central Lemma 2.5 identity and general proof after AlphaEvolve generated low-degree patterns; human direction is explicit.
Importance
Proves a stronger uniform form of the published binomial-form conjecture.
Limitations
The paper gives a proof but does not expressly document a completed independent check of Theorem 2.4. Later rank-two and Co-Mathematician results are separate.
Technical verification
A written proof is given, but the paper does not document a completed human or machine check of this specific general theorem. Reported is the evidence default.
Human understanding
The authors give a detailed derivation from factorial moments to Chern-root power sums and Newton identities, explaining the central mechanism.
Correction and publication history
If correct, proves a stronger uniform form of the published binomial-form conjecture.
Read this published revision