三项是等差数列与和集
数论
2010-04-02 v2 经典分析与常微分方程
摘要
设G为阿贝尔群，A为G的有限子集且不含三项是等差数列。我们证明对所有ε>0，有|A+A| >> |A|(log |A|)^{1/3-ε}。
引用
@article{arxiv.math/0611304,
title = {Three-term arithmetic progressions and sumsets},
author = {Tom Sanders},
journal= {arXiv preprint arXiv:math/0611304},
year = {2010}
}
备注
20 pp. Corrected typos. Updated references. Corrected proof of Theorem 5.1. Minor revisions.