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Problem 335

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  1. vf_a605a74a0c531694

    theoretical

    Erdős Problem #335: declared status 'open'. Formalized: no. Let d(A)d(A) denote the density of A⊆NA\subseteq \mathbb{N}. Characterise those A,B⊆NA,B\subseteq \mathbb{N} with positive density such thatd(A+B)=d(A)+d(B).d(A+B)=d(A)+d(B). Prize: no. Tags: additive combinatorics, number theory.

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