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erdos_513.upper_bound

Specification

For all transcendental entire function `f`, `liminf (fun r : ℝ => ratio r f) atTop ≤ 2 / π - c` for some `c > 0`. This is proved in [ClHa64].

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Lean 4 Statement 
theorem erdos_513.upper_bound : ∃ c > 0,
    ⨆ f : {f : ℂ → ℂ // Transcendental ℂ[X] f ∧ Differentiable ℂ f},
    (liminf (fun r : ℝ => ratio r f) atTop) ≤ 2 / π - c
ID: ErdosProblems__513__erdos_513.upper_bound
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