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12 July 2020
 
  » arxiv » math.CO/0410529

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On various restricted sumsets
Zhi-Wei Sun ; Yeong-Nan Yeh ;
Date 25 Oct 2004
Subject Combinatorics; Number Theory MSC-class: 05A05; 11B75; 11C08; 11P70 | math.CO math.NT
AbstractFor finite subsets A_1,...,A_n of a field, their sumset is given by {a_1+...+a_n: a_1 in A_1,...,a_n in A_n}. In this paper we study various restricted sumsets of A_1,...,A_n with restrictions of the following forms: a_i-a_j not in S_{ij}, or alpha_ia_i not=alpha_ja_j, or a_i+b_i not=a_j+b_j (mod m_{ij}). Furthermore, we gain an insight into relations among recent results on this area obtained in quite different ways.
Source arXiv, math.CO/0410529
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