On an inverse problem for restricted sumsets

2023/05/19 by Xin-Qi Luo, Zhi‐Wei Sun, Luo, Xin-Qi +1
Mathematics · #11B13 #11P70 #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2305.11574

openalex publication_date 2023/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let n be a positive integer, and let A be a set of k≥ 2n-1 integers. For the restricted sumset S_n(A)=\a₁+⋯ +a_n: a₁,…,a_n∈ A, and a_i²≠ a_j² for 1≤ i

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