Zhan Tao.DAVENPORT'S THEOREM IN SHORT INTERVALS;[J].Chinese Annals of Mathematics B,1991,12(4):421~431
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Authors：
Zhan Tao;
Foundation：
Project supported by National Natural Science Foundation
Abstract：
Let $\[\mu \]$ be ie Mobius function. It is proved that for any $A>0$
$$\[{\mu (n)e(n\alpha ){ \ll _{8,A}}y{{(\log y)}^{ - A}}}\]$$
holds uniformly for real $\[\alpha \]$ and $\[y \ge {x^{2/3 + s}}(s > 0)\]$, which generalizes H. Davenport's theorem for Mobius function to short intervals.
