On the integer sets with the same representation functions

2021/11/15 by Kai-Jie Jiao, Csaba Sándor, Jiao, Kai-Jie +5
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2111.07754

openalex publication_date 2021/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let ℕ be the set of all nonnegative integers. For S⊆ ℕ and n∈ ℕ, let R_S(n) denote the number of solutions of the equation n=s₁+s₂, s₁,s₂∈ S and s₁

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