A Bombieri–Vinogradov type exponential sum result with applications
A Bombieri–Vinogradov type exponential sum result with applications
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DOI：
10.1016/j.jnt.2009.01.010
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发表时间：
2009-09
影响因子：
0.7
通讯作者：
Kaisa Matomäki
中科院分区：
文献类型：
--
作者：
Kaisa Matomäki
证明了素数上线性指数和的一个Bombieri-Vinogradov型结果。然后应用它证明了对于任意无理数α和θ>0，存在无穷多个素数p，使得p+2最多有两个素数因子且‖αp+β‖<p−θ。
We prove a Bombieri–Vinogradov type result for linear exponential sums over primes. Then we apply it to show that, for any irrational α and some θ>0, there are infinitely many primes p such that p+2 has at most two prime factors and ‖αp+β‖<p−θ.