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Haowei Lin, Shanda Li
For a finite nonempty subset A of an abelian group, let σ(A)=∣A+A∣/∣A∣ and δ(A)=∣A−A∣/∣A∣. The classical sum-difference inequalities state that $$σ(A)^{1/2}\leqδ(A)\leqσ(A)^2…