Problem

erdos:498

True ↔ ∀ (n : ℕ) (z : Fin n → ℂ), (∀ (i : Fin n), 1 ≤ ‖z i‖) → ∀ (c : ℂ), {ε | (∀ (i : Fin n), ε i = -1 ∨ ε i = 1) ∧ ∑ i, ↑(ε i) * z i ∈ Metric.ball c 1}.ncard ≤ n.choose (n / 2)

Open Current State

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

strong Littlewood-Offord problem

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