On Non-intersecting Arithmetic Progressions
组合数学
2007-05-23 v1 数论
摘要
We prove that if one has k non-intersecting arithmetic progressions of integers, with common differences 2 <= q_1,...,q_k <= x, then k < x exp((-1/6 + o(1)) sqrt(log x loglog x)). This improves a result of Szemeredi and Erdos.
引用
@article{arxiv.math/0208236,
title = {On Non-intersecting Arithmetic Progressions},
author = {Ernie Croot},
journal= {arXiv preprint arXiv:math/0208236},
year = {2007}
}
备注
Submitted