论文标题
bombieri-Vinogradov型模量定理，用于小型激进
A Bombieri-Vinogradov-type theorem for moduli with small radical
论文作者
论文摘要
在本文中，我们将最近的工作扩展到Bombieri-Vinogradov-type定理，用于稀疏的Prime Powers $ p^n \ le X^{1/4- \ varepsilon} $，并使用$ p \ le（\ log x）^c $稀疏到稀疏的moduli $ s \ le x^$ s）$ p \ le（\ log x）^c $ co $ X^{9/40} $。为了获得我们的结果，我们将以前的方法与Bombieri-Vinogradov型定理相结合，用于一般模量$ s \ le x^{9/40} $由Roger Baker获得。
In this article, we extend our recent work on a Bombieri-Vinogradov-type theorem for sparse sets of prime powers $p^N\le x^{1/4-\varepsilon}$ with $p\le (\log x)^C$ to sparse sets of moduli $s\le x^{1/3-\varepsilon}$ with radical rad$(s)\le x^{9/40}$. To derive our result, we combine our previous method with a Bombieri-Vinogradov-type theorem for general moduli $s\le x^{9/40}$ obtained by Roger Baker.
