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The Bateman—Horn conjecture II: applications (Stephan Garcia, Pomona)

December 11, 2018 @ 12:15 pm - 1:10 pm

We 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 conjecture also illuminates the mysterious patterns observed in the Ulam spiral.

Details

Date:
December 11, 2018
Time:
12:15 pm - 1:10 pm
Event Category:

Venue

Millikan 2099, Pomona College
610 N. College Ave.
Claremont, CA 91711 United States
+ Google Map

Other

Speaker Name
Stephan Garcia (Pomona)

Details

Date:
December 11, 2018
Time:
12:15 pm - 1:10 pm
Event Category:

Venue

Millikan 2099, Pomona College
610 N. College Ave.
Claremont, CA 91711 United States
+ Google Map

Other

Speaker Name
Stephan Garcia (Pomona)