加载中…
We present Veech’s proof of Sarnak’s theorem on the M"{o}bius flow which say that there is a unique admissible measure on the M"{o}bius flow. As a consequence, we obtain that Sarnak’s conjecture is equivalent to Chowla conjecture with the help of Tao’s logarithmic Theorem which assert that the logarithmic Sarnak conjecture is equivalent to logaritmic Chowla conjecture, furthermore, if the even logarithmic Sarnak’s conjecture is true then there is a subsequence with logarithmic density one along which Chowla conjecture holds, that is, the M"{o}bius function is quasi-generic.

生成讲解博客的中文版本

生成AI智能校验的中文版本