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erdos_996.log3

Specification

Does there exists a positive constant `C` such that for all `f ∈ L²[0,1]` and all lacunary sequences `n`, if `‖f - fₖ‖₂ = O(1 / log log log k ^ C)`, then for almost every `x`, `lim ∑ k ∈ Finset.range N, f (n k • x)) / N = ∫ t, f t ∂t`?

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Lean 4 Statement 
theorem erdos_996.log3 : answer(sorry) ↔
    ∃ (C : ℝ), 0 < C ∧ ∀ (f : Lp ℂ 2 (haarAddCircle (T
ID: ErdosProblems__996__erdos_996.log3
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