On the distribution of αp modulo one for primes p of a special form
On the distribution of αp modulo one for primes p of a special form
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DOI：
10.2478/s12175-010-0045-3
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发表时间：
2010-12
影响因子：
1.6
通讯作者：
T. Todorova;D. Tolev
中科院分区：
文献类型：
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作者：
T. Todorova;D. Tolev
解析数论中的一个经典问题是研究αp模1的分布，其中α是无理数，p在素数集合上运行。我们考虑由素数p生成的子序列，使得p+2是几乎素数（无穷多个这样的p的存在性是素数理论中的另一个主题结果），并证明其分布具有类似的性质。
A classical problem in analytic number theory is to study the distribution of αp modulo 1, where α is irrational and p runs over the set of primes. We consider the subsequence generated by the primes p such that p+2 is an almost-prime (the existence of infinitely many such p is another topical result in prime number theory) and prove that its distribution has a similar property.