Problem

erdos:52

True ↔ ∀ (ε : ℝ), 0 < ε → ε < 1 → ∃ C, 0 < C ∧ ∀ (A : Finset ℤ), max ↑(A + A).card ↑(A * A).card ≥ C * ↑A.card ^ (2 - ε)

Open Current State

Declared status: open
Formalization: formalized
Prize: $250
Subjects: number theoryadditive combinatorics
OEIS: A263996
Sources: source:erdos-ai-contributions-wikisource:erdos-problemssource:formal-conjectures
Statement: www.erdosproblems.com

sum-product problem

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