Gaps between primes

November 28 to December 2, 2005

at the

American Institute of Mathematics, San Jose, California

organized by

Dan Goldston, Sid Graham, and Andrew Granville

Original Announcement

This workshop will be devoted to the recent work of Goldston, Pintz, and Yildirim on gaps between primes and primes in tuples. The work depends on a surprisingly effective variation of the Selberg sieve, and it has connections and applications to other problems in sieve methods. We seek participants who are experts in sieve methods as well as those who are not; in particular, we encourage those who may be unfamiliar with sieves but have expertise in other areas of number theory to attend. The simplicity of the basic ideas should allow the participants to quickly understand both what is known and what are the main unresolved questions. Further applications and relationships to other areas of number theory will be explored. The main topics for the workshop are:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Report of working group activities.

Papers arising from the workshop:

On the distribution of imaginary parts of zeros of the Riemann zeta function, II
by  Kevin Ford, K. Soundararajan and Alexandru Zaharescu