ErdosProblems · textbook · AMS 11

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Erdős Problem 317

Theorem 317 · Erdős

Inequality in erdos_317.variants.claim2 is obvious, the problem is strict inequality.

Formal statement · Lean 4.lean
lemma claim2_inequality : ∀ᶠ n in atTop,
    ∀ δ : (Fin n) → ℚ, δ '' Set.univ ⊆ {-1,0,1} →
    letI lhs := |∑ k, ((δ k : ℚ) / (k + 1))|
    lhs ≠ 0 → lhs ≥ 1 / (Icc 1 n).lcm id := by
  sorry

Proof. sorry

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