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arXiv · 1807.08899

The Bateman-Horn Conjecture: Heuristics, History, and Applications

Soren Laing Aletheia-Zomlefer·Lenny Fukshansky·Stephan Ramon Garcia
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Abstract

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.

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Soren Laing Aletheia-Zomlefer, Lenny Fukshansky, Stephan Ramon Garcia. 2018-07-24. The Bateman-Horn Conjecture: Heuristics, History, and Applications. https://arxiv.org/abs/1807.08899

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