Problem

erdos:512

True ↔ ∃ c > 0, ∀ (N : ℕ) (A : Finset ℤ), A.card = N → c * Real.log ↑N ≤ ∫ (θ : ℝ) in 0..1, ‖∑ n ∈ A, additiveChar (↑n * θ)‖

Open Current State

Declared status: proved (Lean)
Formalization: formalized
Subjects: analysis
OEIS: N/A
Sources: source:erdos-ai-contributions-wikisource:erdos-problemssource:formal-conjecturessource:jayyhk-erdos-lean
Statement: www.erdosproblems.com

Littlewood's conjecture

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