The Bateman–Horn conjecture: Heuristic, history, and applications
The Bateman–Horn conjecture: Heuristic, history, and applications
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DOI：
10.1016/j.exmath.2019.04.005
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发表时间：
2018-07
影响因子：
0.7
通讯作者：
Soren Laing Aletheia-Zomlefer;L. Fukshansky;S. Garcia
中科院分区：
文献类型：
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作者：
Soren Laing Aletheia-Zomlefer;L. Fukshansky;S. Garcia
贝特曼-霍恩猜想是关于素数分布的一个意义深远的命题。它包含了许多已知的结果，如素数定理和格林-陶定理，以及许多著名的猜想，如孪生素数猜想和朗道猜想。我们讨论贝特曼-霍恩猜想，它的应用，和它的起源。
The Bateman–Horn conjecture is a far-reaching statement about the distribution of the prime numbers. It implies many known results, such as the prime number theorem and the Green–Tao theorem, along with many famous conjectures, such the twin prime conjecture and Landau’s conjecture. We discuss the Bateman–Horn conjecture, its applications, and its origins.