Problem

erdos:818

True ↔ ∀ (K : ℝ), 0 < K → ∃ C, 0 < C ∧ ∃ c, 0 < c ∧ ∀ (A : Finset ℤ), 2 ≤ A.card → ↑(A + A).card ≤ K * ↑A.card → c * ↑A.card ^ 2 / Real.log ↑A.card ^ C ≤ ↑(A * A).card

Open Current State

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

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