A large sieve density estimate near σ=1
A large sieve density estimate near σ=1
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DOI：
10.1007/bf01403187
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发表时间：
1970-12
影响因子：
3.1
通讯作者：
P. Gallagher
中科院分区：
文献类型：
--
作者：
P. Gallagher
证明林尼克的结果最少的素数在算术级数已简化了Rodosskii，Turfin和Knapowski，和Fogels已延长结果给素数在短时间间隔的算术级数。关于Dirichlet L-函数零点的分布，目前仍有两个主要引理。其中第一个是密度定理，Fogels [5]基本上扩展了它，他使用Turan的幂和方法和一个巧妙的附加论证来证明
The proof of Linnik's result on the least prime in an arithmetic progression has been simplified by Rodosskii, Turfin and Knapowski, and Fogels has extended the result to give primes in short intervals of arithmetic progressions. There are still two main lemmas on the distribution of zeros of the Dirichlet L-functions. The first of these, a density theorem, has been essentially extended by Fogels [5], who used Turan's power sum method and an ingenious additional argument to prove