The Bateman—Horn conjecture II: applications (Stephan Garcia, Pomona)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesWe begin with a review of the Bateman—Horn conjecture, which sheds light on the intimate relationship between polynomials and prime numbers. In this expository talk, we survey a host of applications of the conjecture. For example, Landau’s conjecture, the twin prime conjecture, and the Green—Tao theorem are all consequences of the Bateman—Horn conjecture. Moreover, the […]