An explicit economical additive basis

2024/05/14 by Vishesh Jain, Huy Tuan Pham, Jain, Vishesh +5
Economics, Econometrics and Finance · #Combinatorics (math.CO) #Economic theories and models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2405.08650

openalex publication_date 2024/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an explicit subset A⊆ ℕ = \0,1,…\ such that A + A = ℕ and for all ε > 0, lim_{N→ ∞}\frac|\(n₁,n₂): n₁ + n₂ = N, (n₁,n₂)∈ A²\|N^ε = 0. This answers a question of Erdős.

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