具乘性函数或von Mangoldt权函数的三次平均的点态收敛性
动力系统
2018-07-04 v1 数论
摘要
证明了具任意有界非周期乘性函数或von Mangoldt权函数的任意阶三次非传统遍历平均几乎必然收敛。
关键词
引用
@article{arxiv.1807.01158,
title = {On the pointwise convergence of the cubic average with multiplicative or von Mangoldt weights},
author = {el Houcein el Abdalaoui and Xiangdong Ye},
journal= {arXiv preprint arXiv:1807.01158},
year = {2018}
}
备注
16 pages. In this paper we gives a positive answer to the question asked in arXiv:1606.05630 by applying the uniform version of Gowers inverse theorem due to T. Tao. arXiv admin note: text overlap with arXiv:1606.05630, arXiv:1504.00950