On the Divergence of the Sum of Prime Reciprocals
Q3 Mathematics
引用次数: 0
Abstract
The sum of the reciprocals of all prime numbers diverges but the divergence is very slow. We propose effective lower and upper bounds for partial sums under the Riemann hypothesis. We give an explicit error term for all Mertens’ theorems.关于素数倒数和的发散性
所有质数的倒数之和发散，但发散很慢。给出了黎曼假设下部分和的有效下界和上界。我们给出了所有Mertens定理的显式误差项。
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来源期刊
WSEAS Transactions on Mathematics
Mathematics-Discrete Mathematics and Combinatorics
CiteScore
1.30
自引率
0.00%
发文量
93
期刊介绍：
WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.
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