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28 March 2024
 
  » arxiv » 1206.6160

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Note on the Restricted Sumsets in Finite Abelian Groups
Shanshan Du ; Hao Pan ;
Date 27 Jun 2012
AbstractSuppose that $A,B$ are two non-empty subsets of the finite abelian group $G$. If $A ot=B$, then the cardinality of the restricted sumset $$Adotplus B={a+b:,ain A, bin B, a eq b} $$ is at least $$min{p(G),|A|+|B|-2},$$ where $p(G)$ denotes the least prime factor of $|G|$.
Source arXiv, 1206.6160
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