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The Bateman—Horn Conjecture, Part I: heuristic derivation (Stephan Garcia, Pomona)
October 16, 2018 @ 12:15 pm - 1:10 pm
The Bateman—Horn Conjecture is a far-reaching statement about the distribution of the prime numbers. It implies many known results, such as the Green—Tao theorem, and a variety of famous conjectures, such as the Twin Prime Conjecture. In this expository talk, we start from basic principles and provide a heuristic argument in favor of the conjecture. This talk should be accessible to undergraduates with a background in modular arithmetic.