diff --git a/FormalConjectures/ErdosProblems/859.lean b/FormalConjectures/ErdosProblems/859.lean index f8350345c..a85536320 100644 --- a/FormalConjectures/ErdosProblems/859.lean +++ b/FormalConjectures/ErdosProblems/859.lean @@ -49,7 +49,7 @@ The density `dₜ` of `DivisorSumSet (t : ℕ)` is assymptotically equivalent to for some positive constants `c₁` and `c₂`. -/ @[category research open, AMS 11] -theorem erdos_859 (t : ℕ) : ∃ c₁ > 0, ∃ c₂ > 0, ∃ dₜ : ℝ, ((DivisorSumSet t).HasDensity dₜ) ∧ +theorem erdos_859 (t : ℕ) (ht : 1 ≤ t) : ∃ c₁ > 0, ∃ c₂ > 0, ∃ dₜ : ℝ, ((DivisorSumSet t).HasDensity dₜ) ∧ (fun (t : ℕ) ↦ dₜ) ~[atTop] (fun t ↦ c₁ / (Real.log t)^c₂ ) := by sorry