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Canadian Number Theory Association X Meeting (CNTA X)
July 13-18, 2008
University of Waterloo
Waterloo, Ontario, Canada

Organizers
Kevin Hare (Waterloo, Wentang Kuo (Waterloo), Yu-Ru Liu (Waterloo), David McKinnon (Waterloo), Michael Rubinstein (Waterloo), Cam Stewart (Waterloo)

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The distribution of irreducible polynomials over a finite field
by
Paul Pollack
Dartmouth College

It has long been known that the ring of polynomials over a finite field shares many similarities with the ring of rational integers, with the irreducible polynomials playing the role of the prime numbers. In this talk we look at what is known in the polynomial setting about some of the chief unsolved problems in prime number theory (e.g., the twin prime conjecture and Goldbach's conjecture).

Date received: June 14, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawl-96.