During the summer of 2003, I gave several lectures
to advanced participants at the Ross program
at Ohio State. The topic of the lectures was analogies between
integers and polynomials (in one variable over a field).
Topics included continued fractions,
quadratic reciprocity (including
characteristic 2), and the * abc* conjecture.

Here is a handout on polynomials which was distributed before the start of the course.

Below are problems sets distributed each day after my lectures.

Set 0

Set 1

Set 2

Set 3

Set 4

Set 5

Reference list

Here are notes for my lectures on quadratic reciprocity in polynomials over a finite field of odd characteristic and characteristic 2. Only the part of the characteristic 2 notes preceding the introduction of residues was discussed.