和多于差的集合
数论
2016-12-30 v2 组合数学
摘要
设 为整数集或更一般地任意加法 Abel 群的一个有限子集。若 ,则称集合 具有“和多于差”的性质。具有此性质的集合称为 MSTD 集合。本文给出了整数 MSTD 集合族的显式构造。
引用
@article{arxiv.math/0608148,
title = {Sets with more sums than differences},
author = {Melvyn B. Nathanson},
journal= {arXiv preprint arXiv:math/0608148},
year = {2016}
}
备注
This is a lecture delivered at the SIAM Conference on Discrete Mathematics in Victoria, British Columbia, on June 27, 2006. Some references have been added. LaTex; 19 pages