Analogies between integers and polynomials

In late July, 2013, I had the of privilege of delivering three two-hour lectures at the University of the Philippines Diliman, as part of a CIMPA-ICTP research school. The lectures discussed the analogies between the ring of integers Z and the ring Fq[T] of polynomials over a finite field. Towards the second half of the course, we focused on analogies in prime number theory. All that was assumed was a working knowledge of the theory of finite fields.

For students of the program, and all other interested parties, I include my lecture notes here.

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