Back to Problems

four_3

Specification

Is it true that if $p(x)$ and $q(x)$ are monic real-rooted polynomials of degree $3$, then $$\frac{1}{\Phi_3(p\boxplus_n q)} \ge \frac{1}{\Phi_3(p)}+\frac{1}{\Phi_3(q)}?$$

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement 
theorem four_3 : answer(sorry) ↔ ∀ (p q : ℝ[X]), FourProp p q 3
ID: Arxiv__FirstProof4__four_3
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.