University of Georgia

Mathematics Department Colloquium

John Friedlander

Fellow of the Royal Society of Canada, University of Toronto

February 18, 1999

Prime values of polynomials


Abstract: Given an irreducible polynomial with integer coefficients it is an interesting problem to try to prove whether or not the polynomial is a prime number for infinitely many integer values of the variable(s). Despite a long history, relatively few cases have been settled. In this talk we survey some of that history and then go on to describe a number of the ideas behind recent joint work with Henryk Iwaniec which yield new progress on this question. Most of this talk should be accessible to undergraduates who are specialist students in mathematics.