3:00 p.m., Friday
Department of Mathematics
University of Toronto
Sieve methods, old and new
The number-theoretic sieve as a tool for studying primes
is of very ancient lineage dating from Eratosthenes,
nevertheless it remained almost unchanged through two
During the twentieth century there have been a number
of periods of substantial progress. Although the main
questions are still unanswered we can now begin to see
cases where the sieve is finally able to successfully
attack problems of the type for which it was designed.
In this lecture we discuss some of the history and basic
ideas behind the main steps along this path.