Sarnak 猜想沿子序列蕴含 Chowla 猜想
数论
2017-10-20 v1 动力系统
摘要
我们证明，零熵动力系统的 Möbius 不交性蕴含存在一个递增的正整数序列，沿该序列 Möbius 函数自相关的 Chowla 猜想成立。
引用
@article{arxiv.1710.07049,
title = {Sarnak's conjecture implies the Chowla conjecture along a subsequence},
author = {Alexander Gomilko and Dominik Kwietniak and Mariusz Lemańczyk},
journal= {arXiv preprint arXiv:1710.07049},
year = {2017}
}
备注
Proceedings of the Chair Morlet semester "Ergodic Theory and Dynamical Systems in their Interactions with Arithmetic and Combinatorics" 1.08.2016--31.01.2017, Springer, to appear