On limit points of the sequence of normalized prime gaps
On limit points of the sequence of normalized prime gaps
复制标题
关于归一化素数间隙序列的极限点
DOI：
--
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
J. Maynard
中科院分区：
文献类型：
--
作者：
W. Banks;T. Freiberg;J. Maynard
设pn表示第n个最小素数，L表示连续素数之间的归一化差序列{（pn+1-pn）/logpn}n=1∞的极限点集。我们证明了，对于任意九个非负真实的序列β1 <$β2 <$$> β9，至少有一个数βj−βi（1 <$i
Let pn denote the n th smallest prime number, and let L denote the set of limit points of the sequence {(pn+1−pn)/logpn}n=1∞ of normalized differences between consecutive primes. We show that, for any sequence of nine nonnegative real numbers β1⩽β2⩽⋯⩽β9 , at least one of the numbers βj−βi ( 1⩽i