2004/10/25 by Zhi-Wei Sun, Zhi‐Wei Sun, Sun, Zhi-Wei +3
Computer Science · Mathematics · #05A05 #11B75 #11C08 #11P70 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph Labeling and Dimension Problems #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.CO #math.NT #msc:05A05 #msc:11B75 #msc:11C08 #msc:11P70
paper · pdf · doi:10.48550/arxiv.math/0410529
11 pages; final version for J. Number Theory
openalex publication_date 2004/10/25 · arxiv created 2005/06/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For finite subsets A1,...,An of a field, their sumset is given by a1+...+an: a1 in A1,...,an in An. In this paper we study various restricted sumsets of A1,...,An with restrictions of the following forms: ai-aj not in Sij, or alphaiai not=alphajaj, or ai+bi not=aj+bj (mod mij). Furthermore, we gain an insight into relations among recent results on this area obtained in quite different ways.